Least Common Multiple of 478/21, 140/86, 332/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/21, 140/86, 332/629 quickly i.e. 2777180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/21, 140/86, 332/629 is 2777180.

LCM(478/21, 140/86, 332/629) = 2777180

LCM of 478/21, 140/86, 332/629

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 478/21,140/86,332/629

Given numbers are 478/21,140/86,332/629

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 478,140,332

Least Common Multiple of Numerators i.e. LCM of 478,140,332 is 2777180.

GCF of Denominators means GCF of 21,86,629 as per the given fractions.

GCF of 21,86,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,140,332

LCM of Fractions 478/21,140/86,332/629 is 2777180

2 478, 140, 332
2 239, 70, 166
239, 35, 83

∴ So the LCM of the given numbers is 2 x 2 x 239 x 35 x 83 = 2777180

Least Common Multiple of 478,140,332 with GCF Formula

Least Common Multiple of 478,140,332 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 478,140,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,140,332) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(478,140,332) x common factors =2 x 4 = 8

LCM(478,140,332) = ( 478 × 140 × 332 ) / 8

LCM(478,140,332) = 22217440 / 8

LCM(478,140,332) = 2777180


Lets's calculate GCF of 21,86,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2777180/1

Therefore the LCM of Fractions 478/21,140/86,332/629 is 2777180

Greatest Common Factor of 21,86,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,86,629 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 21,86,629 . The biggest common factor number is the GCF number.
So the greatest common factor 21,86,629 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 478/21, 140/86, 332/629

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 478/21, 140/86, 332/629?

Answer: LCM of Numerators as per given numbers 478/21, 140/86, 332/629 is

LCM of Numerators i.e. for 478,140,332 is 2777180

GCF of denominators i.e. for 21,86,629 is 1.

Thus, LCM of Fractions is 2777180.Finally, LCM of Fractions for 478/21, 140/86, 332/629 is 2777180.