Least Common Multiple of 875/902, 430/676, 313/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 875/902, 430/676, 313/871 quickly i.e. 23553250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 875/902, 430/676, 313/871 is 23553250.

LCM(875/902, 430/676, 313/871) = 23553250

LCM of 875/902, 430/676, 313/871

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 875/902,430/676,313/871

Given numbers are 875/902,430/676,313/871

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 875,430,313

Least Common Multiple of Numerators i.e. LCM of 875,430,313 is 23553250.

GCF of Denominators means GCF of 902,676,871 as per the given fractions.

GCF of 902,676,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 875,430,313

LCM of Fractions 875/902,430/676,313/871 is 23553250

5 875, 430, 313
175, 86, 313

∴ So the LCM of the given numbers is 5 x 175 x 86 x 313 = 23553250

Least Common Multiple of 875,430,313 with GCF Formula

Least Common Multiple of 875,430,313 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 875,430,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,430,313) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(875,430,313) x common factors =1 x 5 = 5

LCM(875,430,313) = ( 875 × 430 × 313 ) / 5

LCM(875,430,313) = 117766250 / 5

LCM(875,430,313) = 23553250


Lets's calculate GCF of 902,676,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23553250/1

Therefore the LCM of Fractions 875/902,430/676,313/871 is 23553250

Greatest Common Factor of 902,676,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,676,871 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 902,676,871 . The biggest common factor number is the GCF number.
So the greatest common factor 902,676,871 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 875/902, 430/676, 313/871

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 875/902, 430/676, 313/871?

Answer: LCM of Numerators as per given numbers 875/902, 430/676, 313/871 is

LCM of Numerators i.e. for 875,430,313 is 23553250

GCF of denominators i.e. for 902,676,871 is 1.

Thus, LCM of Fractions is 23553250.Finally, LCM of Fractions for 875/902, 430/676, 313/871 is 23553250.