Least Common Multiple of 92/210, 234/988, 268/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/210, 234/988, 268/376 quickly i.e. 360594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/210, 234/988, 268/376 is 360594.

LCM(92/210, 234/988, 268/376) = 360594

LCM of 92/210, 234/988, 268/376

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 92/210,234/988,268/376

Given numbers are 92/210,234/988,268/376

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 92,234,268

Least Common Multiple of Numerators i.e. LCM of 92,234,268 is 721188.

GCF of Denominators means GCF of 210,988,376 as per the given fractions.

GCF of 210,988,376 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,234,268

LCM of Fractions 92/210,234/988,268/376 is 360594

2 92, 234, 268
2 46, 117, 134
23, 117, 67

∴ So the LCM of the given numbers is 2 x 2 x 23 x 117 x 67 = 721188

Least Common Multiple of 92,234,268 with GCF Formula

Least Common Multiple of 92,234,268 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 92,234,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,234,268) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(92,234,268) x common factors =2 x 4 = 8

LCM(92,234,268) = ( 92 × 234 × 268 ) / 8

LCM(92,234,268) = 5769504 / 8

LCM(92,234,268) = 721188


Lets's calculate GCF of 210,988,376

2 210, 988, 376
105, 494, 188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721188/2

Therefore the LCM of Fractions 92/210,234/988,268/376 is 360594

Greatest Common Factor of 210,988,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,988,376 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 376

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

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

Greatest Common Factor

We found the factors 210,988,376 . The biggest common factor number is the GCF number.
So the greatest common factor 210,988,376 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 92/210, 234/988, 268/376

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 92/210, 234/988, 268/376?

Answer: LCM of Numerators as per given numbers 92/210, 234/988, 268/376 is

LCM of Numerators i.e. for 92,234,268 is 721188

GCF of denominators i.e. for 210,988,376 is 2.

Thus, LCM of Fractions is 360594.Finally, LCM of Fractions for 92/210, 234/988, 268/376 is 360594.