Least Common Multiple of 126/314, 982/218, 600/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/314, 982/218, 600/660 quickly i.e. 3093300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/314, 982/218, 600/660 is 3093300.

LCM(126/314, 982/218, 600/660) = 3093300

LCM of 126/314, 982/218, 600/660

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 126/314,982/218,600/660

Given numbers are 126/314,982/218,600/660

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 126,982,600

Least Common Multiple of Numerators i.e. LCM of 126,982,600 is 6186600.

GCF of Denominators means GCF of 314,218,660 as per the given fractions.

GCF of 314,218,660 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,982,600

LCM of Fractions 126/314,982/218,600/660 is 3093300

2 126, 982, 600
3 63, 491, 300
21, 491, 100

∴ So the LCM of the given numbers is 2 x 3 x 21 x 491 x 100 = 6186600

Least Common Multiple of 126,982,600 with GCF Formula

Least Common Multiple of 126,982,600 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 126,982,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,982,600) = 2

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

GCF(126,982,600) x common factors =2 x 6 = 12

LCM(126,982,600) = ( 126 × 982 × 600 ) / 12

LCM(126,982,600) = 74239200 / 12

LCM(126,982,600) = 6186600


Lets's calculate GCF of 314,218,660

2 314, 218, 660
157, 109, 330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6186600/2

Therefore the LCM of Fractions 126/314,982/218,600/660 is 3093300

Greatest Common Factor of 314,218,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,218,660 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

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

Greatest Common Factor

We found the factors 314,218,660 . The biggest common factor number is the GCF number.
So the greatest common factor 314,218,660 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 126/314, 982/218, 600/660

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 126/314, 982/218, 600/660?

Answer: LCM of Numerators as per given numbers 126/314, 982/218, 600/660 is

LCM of Numerators i.e. for 126,982,600 is 6186600

GCF of denominators i.e. for 314,218,660 is 2.

Thus, LCM of Fractions is 3093300.Finally, LCM of Fractions for 126/314, 982/218, 600/660 is 3093300.