Least Common Multiple of 358/718, 772/851, 772/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 358/718, 772/851, 772/111 quickly i.e. 138188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 358/718, 772/851, 772/111 is 138188.

LCM(358/718, 772/851, 772/111) = 138188

LCM of 358/718, 772/851, 772/111

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 358/718,772/851,772/111

Given numbers are 358/718,772/851,772/111

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 358,772,772

Least Common Multiple of Numerators i.e. LCM of 358,772,772 is 138188.

GCF of Denominators means GCF of 718,851,111 as per the given fractions.

GCF of 718,851,111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 358,772,772

LCM of Fractions 358/718,772/851,772/111 is 138188

2 358, 772, 772
2 179, 386, 386
193 179, 193, 193
179, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 193 x 179 x 1 x 1 = 138188

Least Common Multiple of 358,772,772 with GCF Formula

Least Common Multiple of 358,772,772 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 358,772,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,772,772) = 2

common factors(in case of two or more numbers have common factors) = 772

GCF(358,772,772) x common factors =2 x 772 = 1544

LCM(358,772,772) = ( 358 × 772 × 772 ) / 1544

LCM(358,772,772) = 213362272 / 1544

LCM(358,772,772) = 138188


Lets's calculate GCF of 718,851,111

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138188/1

Therefore the LCM of Fractions 358/718,772/851,772/111 is 138188

Greatest Common Factor of 718,851,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,851,111 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 718,851,111 . The biggest common factor number is the GCF number.
So the greatest common factor 718,851,111 is 1.


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 358/718, 772/851, 772/111

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 358/718, 772/851, 772/111?

Answer: LCM of Numerators as per given numbers 358/718, 772/851, 772/111 is

LCM of Numerators i.e. for 358,772,772 is 138188

GCF of denominators i.e. for 718,851,111 is 1.

Thus, LCM of Fractions is 138188.Finally, LCM of Fractions for 358/718, 772/851, 772/111 is 138188.