Least Common Multiple of 718/952, 988/476, 178/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 718/952, 988/476, 178/346 quickly i.e. 15783794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 718/952, 988/476, 178/346 is 15783794.

LCM(718/952, 988/476, 178/346) = 15783794

LCM of 718/952, 988/476, 178/346

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 718/952,988/476,178/346

Given numbers are 718/952,988/476,178/346

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 718,988,178

Least Common Multiple of Numerators i.e. LCM of 718,988,178 is 31567588.

GCF of Denominators means GCF of 952,476,346 as per the given fractions.

GCF of 952,476,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 718,988,178

LCM of Fractions 718/952,988/476,178/346 is 15783794

2 718, 988, 178
359, 494, 89

∴ So the LCM of the given numbers is 2 x 359 x 494 x 89 = 31567588

Least Common Multiple of 718,988,178 with GCF Formula

Least Common Multiple of 718,988,178 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 718,988,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,988,178) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(718,988,178) x common factors =2 x 2 = 4

LCM(718,988,178) = ( 718 × 988 × 178 ) / 4

LCM(718,988,178) = 126270352 / 4

LCM(718,988,178) = 31567588


Lets's calculate GCF of 952,476,346

2 952, 476, 346
476, 238, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31567588/2

Therefore the LCM of Fractions 718/952,988/476,178/346 is 15783794

Greatest Common Factor of 952,476,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,476,346 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 952,476,346 . The biggest common factor number is the GCF number.
So the greatest common factor 952,476,346 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 718/952, 988/476, 178/346

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 718/952, 988/476, 178/346?

Answer: LCM of Numerators as per given numbers 718/952, 988/476, 178/346 is

LCM of Numerators i.e. for 718,988,178 is 31567588

GCF of denominators i.e. for 952,476,346 is 2.

Thus, LCM of Fractions is 15783794.Finally, LCM of Fractions for 718/952, 988/476, 178/346 is 15783794.