Least Common Multiple of 307/376, 145/156, 432/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/376, 145/156, 432/922 quickly i.e. 9615240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/376, 145/156, 432/922 is 9615240.

LCM(307/376, 145/156, 432/922) = 9615240

LCM of 307/376, 145/156, 432/922

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 307/376,145/156,432/922

Given numbers are 307/376,145/156,432/922

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 307,145,432

Least Common Multiple of Numerators i.e. LCM of 307,145,432 is 19230480.

GCF of Denominators means GCF of 376,156,922 as per the given fractions.

GCF of 376,156,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,145,432

LCM of Fractions 307/376,145/156,432/922 is 9615240

Given numbers has no common factors except 1. So, there LCM is their product i.e 19230480

Least Common Multiple of 307,145,432 with GCF Formula

Least Common Multiple of 307,145,432 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 307,145,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,145,432) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(307,145,432) x common factors =1 x 1 = 1

LCM(307,145,432) = ( 307 × 145 × 432 ) / 1

LCM(307,145,432) = 19230480 / 1

LCM(307,145,432) = 19230480


Lets's calculate GCF of 376,156,922

2 376, 156, 922
188, 78, 461

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19230480/2

Therefore the LCM of Fractions 307/376,145/156,432/922 is 9615240

Greatest Common Factor of 376,156,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,156,922 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 376,156,922 . The biggest common factor number is the GCF number.
So the greatest common factor 376,156,922 is 2.


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 307/376, 145/156, 432/922

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 307/376, 145/156, 432/922?

Answer: LCM of Numerators as per given numbers 307/376, 145/156, 432/922 is

LCM of Numerators i.e. for 307,145,432 is 19230480

GCF of denominators i.e. for 376,156,922 is 2.

Thus, LCM of Fractions is 9615240.Finally, LCM of Fractions for 307/376, 145/156, 432/922 is 9615240.