Least Common Multiple of 686/22, 312/50, 906/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/22, 312/50, 906/660 quickly i.e. 8079708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/22, 312/50, 906/660 is 8079708.

LCM(686/22, 312/50, 906/660) = 8079708

LCM of 686/22, 312/50, 906/660

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 686/22,312/50,906/660

Given numbers are 686/22,312/50,906/660

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 686,312,906

Least Common Multiple of Numerators i.e. LCM of 686,312,906 is 16159416.

GCF of Denominators means GCF of 22,50,660 as per the given fractions.

GCF of 22,50,660 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,312,906

LCM of Fractions 686/22,312/50,906/660 is 8079708

2 686, 312, 906
3 343, 156, 453
343, 52, 151

∴ So the LCM of the given numbers is 2 x 3 x 343 x 52 x 151 = 16159416

Least Common Multiple of 686,312,906 with GCF Formula

Least Common Multiple of 686,312,906 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 686,312,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,312,906) = 2

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

GCF(686,312,906) x common factors =2 x 6 = 12

LCM(686,312,906) = ( 686 × 312 × 906 ) / 12

LCM(686,312,906) = 193912992 / 12

LCM(686,312,906) = 16159416


Lets's calculate GCF of 22,50,660

2 22, 50, 660
11, 25, 330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16159416/2

Therefore the LCM of Fractions 686/22,312/50,906/660 is 8079708

Greatest Common Factor of 22,50,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,50,660 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

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 22,50,660 . The biggest common factor number is the GCF number.
So the greatest common factor 22,50,660 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 686/22, 312/50, 906/660

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 686/22, 312/50, 906/660?

Answer: LCM of Numerators as per given numbers 686/22, 312/50, 906/660 is

LCM of Numerators i.e. for 686,312,906 is 16159416

GCF of denominators i.e. for 22,50,660 is 2.

Thus, LCM of Fractions is 8079708.Finally, LCM of Fractions for 686/22, 312/50, 906/660 is 8079708.