Least Common Multiple of 478/878, 872/876, 337/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/878, 872/876, 337/440 quickly i.e. 35116748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/878, 872/876, 337/440 is 35116748.

LCM(478/878, 872/876, 337/440) = 35116748

LCM of 478/878, 872/876, 337/440

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 478/878,872/876,337/440

Given numbers are 478/878,872/876,337/440

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 478,872,337

Least Common Multiple of Numerators i.e. LCM of 478,872,337 is 70233496.

GCF of Denominators means GCF of 878,876,440 as per the given fractions.

GCF of 878,876,440 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,872,337

LCM of Fractions 478/878,872/876,337/440 is 35116748

2 478, 872, 337
239, 436, 337

∴ So the LCM of the given numbers is 2 x 239 x 436 x 337 = 70233496

Least Common Multiple of 478,872,337 with GCF Formula

Least Common Multiple of 478,872,337 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 478,872,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,872,337) = 1

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

GCF(478,872,337) x common factors =1 x 2 = 2

LCM(478,872,337) = ( 478 × 872 × 337 ) / 2

LCM(478,872,337) = 140466992 / 2

LCM(478,872,337) = 70233496


Lets's calculate GCF of 878,876,440

2 878, 876, 440
439, 438, 220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70233496/2

Therefore the LCM of Fractions 478/878,872/876,337/440 is 35116748

Greatest Common Factor of 878,876,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,876,440 By Matching Biggest Common Factor Method

Factors of 878

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

1,2,439,878

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 878,876,440 . The biggest common factor number is the GCF number.
So the greatest common factor 878,876,440 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 478/878, 872/876, 337/440

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 478/878, 872/876, 337/440?

Answer: LCM of Numerators as per given numbers 478/878, 872/876, 337/440 is

LCM of Numerators i.e. for 478,872,337 is 70233496

GCF of denominators i.e. for 878,876,440 is 2.

Thus, LCM of Fractions is 35116748.Finally, LCM of Fractions for 478/878, 872/876, 337/440 is 35116748.