Least Common Multiple of 376/889, 566/646, 347/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 376/889, 566/646, 347/538 quickly i.e. 36923576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 376/889, 566/646, 347/538 is 36923576.

LCM(376/889, 566/646, 347/538) = 36923576

LCM of 376/889, 566/646, 347/538

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 376/889,566/646,347/538

Given numbers are 376/889,566/646,347/538

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 376,566,347

Least Common Multiple of Numerators i.e. LCM of 376,566,347 is 36923576.

GCF of Denominators means GCF of 889,646,538 as per the given fractions.

GCF of 889,646,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 376,566,347

LCM of Fractions 376/889,566/646,347/538 is 36923576

2 376, 566, 347
188, 283, 347

∴ So the LCM of the given numbers is 2 x 188 x 283 x 347 = 36923576

Least Common Multiple of 376,566,347 with GCF Formula

Least Common Multiple of 376,566,347 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 376,566,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,566,347) = 1

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

GCF(376,566,347) x common factors =1 x 2 = 2

LCM(376,566,347) = ( 376 × 566 × 347 ) / 2

LCM(376,566,347) = 73847152 / 2

LCM(376,566,347) = 36923576


Lets's calculate GCF of 889,646,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36923576/1

Therefore the LCM of Fractions 376/889,566/646,347/538 is 36923576

Greatest Common Factor of 889,646,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,646,538 By Matching Biggest Common Factor Method

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 889,646,538 . The biggest common factor number is the GCF number.
So the greatest common factor 889,646,538 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 376/889, 566/646, 347/538

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 376/889, 566/646, 347/538?

Answer: LCM of Numerators as per given numbers 376/889, 566/646, 347/538 is

LCM of Numerators i.e. for 376,566,347 is 36923576

GCF of denominators i.e. for 889,646,538 is 1.

Thus, LCM of Fractions is 36923576.Finally, LCM of Fractions for 376/889, 566/646, 347/538 is 36923576.