Least Common Multiple of 634/378, 990/212, 386/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 634/378, 990/212, 386/966 quickly i.e. 30284595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 634/378, 990/212, 386/966 is 30284595.

LCM(634/378, 990/212, 386/966) = 30284595

LCM of 634/378, 990/212, 386/966

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 634/378,990/212,386/966

Given numbers are 634/378,990/212,386/966

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 634,990,386

Least Common Multiple of Numerators i.e. LCM of 634,990,386 is 60569190.

GCF of Denominators means GCF of 378,212,966 as per the given fractions.

GCF of 378,212,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 634,990,386

LCM of Fractions 634/378,990/212,386/966 is 30284595

2 634, 990, 386
317, 495, 193

∴ So the LCM of the given numbers is 2 x 317 x 495 x 193 = 60569190

Least Common Multiple of 634,990,386 with GCF Formula

Least Common Multiple of 634,990,386 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 634,990,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,990,386) = 2

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

GCF(634,990,386) x common factors =2 x 2 = 4

LCM(634,990,386) = ( 634 × 990 × 386 ) / 4

LCM(634,990,386) = 242276760 / 4

LCM(634,990,386) = 60569190


Lets's calculate GCF of 378,212,966

2 378, 212, 966
189, 106, 483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60569190/2

Therefore the LCM of Fractions 634/378,990/212,386/966 is 30284595

Greatest Common Factor of 378,212,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,212,966 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 378,212,966 . The biggest common factor number is the GCF number.
So the greatest common factor 378,212,966 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 634/378, 990/212, 386/966

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 634/378, 990/212, 386/966?

Answer: LCM of Numerators as per given numbers 634/378, 990/212, 386/966 is

LCM of Numerators i.e. for 634,990,386 is 60569190

GCF of denominators i.e. for 378,212,966 is 2.

Thus, LCM of Fractions is 30284595.Finally, LCM of Fractions for 634/378, 990/212, 386/966 is 30284595.