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Find LCM and GCD of 120 and 135 ?
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Find LCM and GCD of 120 and 135 ?
LCM and GCD of 120 and 135
Finding the Greatest Common Divisor (GCD)
- To find the GCD of 120 and 135, we can use the Euclidean algorithm.
- Divide 135 by 120, we get a quotient of 1 and a remainder of 15.
- Now, divide 120 by 15, we get a quotient of 8 and a remainder of 0.
- Since the remainder is 0, the GCD of 120 and 135 is the divisor at this step, which is 15.
Finding the Least Common Multiple (LCM)
- The LCM of 120 and 135 can be found using the formula: LCM(a, b) = (a * b) / GCD(a, b).
- Substitute the values of 120 and 135 into the formula: LCM(120, 135) = (120 * 135) / 15 = 1080.
- Therefore, the LCM of 120 and 135 is 1080.
In conclusion, the GCD of 120 and 135 is 15, and the LCM of 120 and 135 is 1080.
Finding the Greatest Common Divisor (GCD)
- To find the GCD of 120 and 135, we can use the Euclidean algorithm.
- Divide 135 by 120, we get a quotient of 1 and a remainder of 15.
- Now, divide 120 by 15, we get a quotient of 8 and a remainder of 0.
- Since the remainder is 0, the GCD of 120 and 135 is the divisor at this step, which is 15.
Finding the Least Common Multiple (LCM)
- The LCM of 120 and 135 can be found using the formula: LCM(a, b) = (a * b) / GCD(a, b).
- Substitute the values of 120 and 135 into the formula: LCM(120, 135) = (120 * 135) / 15 = 1080.
- Therefore, the LCM of 120 and 135 is 1080.
In conclusion, the GCD of 120 and 135 is 15, and the LCM of 120 and 135 is 1080.
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Find LCM and GCD of 120 and 135 ?
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Find LCM and GCD of 120 and 135 ? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find LCM and GCD of 120 and 135 ? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find LCM and GCD of 120 and 135 ?.
Find LCM and GCD of 120 and 135 ? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find LCM and GCD of 120 and 135 ? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find LCM and GCD of 120 and 135 ?.
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