Least Common Multiple of 4314/902, 8895/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4314/902, 8895/878 quickly i.e. 6395505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4314/902, 8895/878 is 6395505.

LCM(4314/902, 8895/878) = 6395505

LCM of 4314/902, 8895/878

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 4314/902,8895/878

Given numbers are 4314/902,8895/878

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 4314,8895

Least Common Multiple of Numerators i.e. LCM of 4314,8895 is 12791010.

GCF of Denominators means GCF of 902,878 as per the given fractions.

GCF of 902,878 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4314,8895

LCM of Fractions 4314/902,8895/878 is 6395505

3 4314, 8895
1438, 2965

∴ So the LCM of the given numbers is 3 x 1438 x 2965 = 12791010

Least Common Multiple of 4314,8895 with GCF Formula

Least Common Multiple of 4314,8895 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 4314,8895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4314,8895) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(4314,8895) x common factors =3 x 1 = 3

LCM(4314,8895) = ( 4314 × 8895 ) / 3

LCM(4314,8895) = 38373030 / 3

LCM(4314,8895) = 12791010


Lets's calculate GCF of 902,878

2 902, 878
451, 439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12791010/2

Therefore the LCM of Fractions 4314/902,8895/878 is 6395505

Greatest Common Factor of 902,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,878 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 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 902,878 . The biggest common factor number is the GCF number.
So the greatest common factor 902,878 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 4314/902, 8895/878

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 4314/902, 8895/878?

Answer: LCM of Numerators as per given numbers 4314/902, 8895/878 is

LCM of Numerators i.e. for 4314,8895 is 12791010

GCF of denominators i.e. for 902,878 is 2.

Thus, LCM of Fractions is 6395505.Finally, LCM of Fractions for 4314/902, 8895/878 is 6395505.