Least Common Multiple of 126/660, 631/338, 222/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/660, 631/338, 222/390 quickly i.e. 1470861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/660, 631/338, 222/390 is 1470861.

LCM(126/660, 631/338, 222/390) = 1470861

LCM of 126/660, 631/338, 222/390

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 126/660,631/338,222/390

Given numbers are 126/660,631/338,222/390

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 126,631,222

Least Common Multiple of Numerators i.e. LCM of 126,631,222 is 2941722.

GCF of Denominators means GCF of 660,338,390 as per the given fractions.

GCF of 660,338,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,631,222

LCM of Fractions 126/660,631/338,222/390 is 1470861

2 126, 631, 222
3 63, 631, 111
21, 631, 37

∴ So the LCM of the given numbers is 2 x 3 x 21 x 631 x 37 = 2941722

Least Common Multiple of 126,631,222 with GCF Formula

Least Common Multiple of 126,631,222 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 126,631,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,631,222) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(126,631,222) x common factors =1 x 6 = 6

LCM(126,631,222) = ( 126 × 631 × 222 ) / 6

LCM(126,631,222) = 17650332 / 6

LCM(126,631,222) = 2941722


Lets's calculate GCF of 660,338,390

2 660, 338, 390
330, 169, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2941722/2

Therefore the LCM of Fractions 126/660,631/338,222/390 is 1470861

Greatest Common Factor of 660,338,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,338,390 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 660,338,390 . The biggest common factor number is the GCF number.
So the greatest common factor 660,338,390 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 126/660, 631/338, 222/390

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 126/660, 631/338, 222/390?

Answer: LCM of Numerators as per given numbers 126/660, 631/338, 222/390 is

LCM of Numerators i.e. for 126,631,222 is 2941722

GCF of denominators i.e. for 660,338,390 is 2.

Thus, LCM of Fractions is 1470861.Finally, LCM of Fractions for 126/660, 631/338, 222/390 is 1470861.