Least Common Multiple of 658/899, 876/959, 543/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 658/899, 876/959, 543/304 quickly i.e. 52164924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/899, 876/959, 543/304 is 52164924.

LCM(658/899, 876/959, 543/304) = 52164924

LCM of 658/899, 876/959, 543/304

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 658/899,876/959,543/304

Given numbers are 658/899,876/959,543/304

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 658,876,543

Least Common Multiple of Numerators i.e. LCM of 658,876,543 is 52164924.

GCF of Denominators means GCF of 899,959,304 as per the given fractions.

GCF of 899,959,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,876,543

LCM of Fractions 658/899,876/959,543/304 is 52164924

2 658, 876, 543
3 329, 438, 543
329, 146, 181

∴ So the LCM of the given numbers is 2 x 3 x 329 x 146 x 181 = 52164924

Least Common Multiple of 658,876,543 with GCF Formula

Least Common Multiple of 658,876,543 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 658,876,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,876,543) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(658,876,543) x common factors =1 x 6 = 6

LCM(658,876,543) = ( 658 × 876 × 543 ) / 6

LCM(658,876,543) = 312989544 / 6

LCM(658,876,543) = 52164924


Lets's calculate GCF of 899,959,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52164924/1

Therefore the LCM of Fractions 658/899,876/959,543/304 is 52164924

Greatest Common Factor of 899,959,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,959,304 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 899,959,304 . The biggest common factor number is the GCF number.
So the greatest common factor 899,959,304 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 658/899, 876/959, 543/304

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 658/899, 876/959, 543/304?

Answer: LCM of Numerators as per given numbers 658/899, 876/959, 543/304 is

LCM of Numerators i.e. for 658,876,543 is 52164924

GCF of denominators i.e. for 899,959,304 is 1.

Thus, LCM of Fractions is 52164924.Finally, LCM of Fractions for 658/899, 876/959, 543/304 is 52164924.