Least Common Multiple of 680/741, 951/432, 852/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/741, 951/432, 852/936 quickly i.e. 15304760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/741, 951/432, 852/936 is 15304760.

LCM(680/741, 951/432, 852/936) = 15304760

LCM of 680/741, 951/432, 852/936

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 680/741,951/432,852/936

Given numbers are 680/741,951/432,852/936

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 680,951,852

Least Common Multiple of Numerators i.e. LCM of 680,951,852 is 45914280.

GCF of Denominators means GCF of 741,432,936 as per the given fractions.

GCF of 741,432,936 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,951,852

LCM of Fractions 680/741,951/432,852/936 is 15304760

2 680, 951, 852
2 340, 951, 426
3 170, 951, 213
170, 317, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 170 x 317 x 71 = 45914280

Least Common Multiple of 680,951,852 with GCF Formula

Least Common Multiple of 680,951,852 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 680,951,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,951,852) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(680,951,852) x common factors =1 x 12 = 12

LCM(680,951,852) = ( 680 × 951 × 852 ) / 12

LCM(680,951,852) = 550971360 / 12

LCM(680,951,852) = 45914280


Lets's calculate GCF of 741,432,936

3 741, 432, 936
247, 144, 312

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45914280/3

Therefore the LCM of Fractions 680/741,951/432,852/936 is 15304760

Greatest Common Factor of 741,432,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,432,936 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 741,432,936 . The biggest common factor number is the GCF number.
So the greatest common factor 741,432,936 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 680/741, 951/432, 852/936

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 680/741, 951/432, 852/936?

Answer: LCM of Numerators as per given numbers 680/741, 951/432, 852/936 is

LCM of Numerators i.e. for 680,951,852 is 45914280

GCF of denominators i.e. for 741,432,936 is 3.

Thus, LCM of Fractions is 15304760.Finally, LCM of Fractions for 680/741, 951/432, 852/936 is 15304760.