Least Common Multiple of 906/20, 762/7947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/20, 762/7947 quickly i.e. 115062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/20, 762/7947 is 115062.

LCM(906/20, 762/7947) = 115062

LCM of 906/20, 762/7947

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 906/20,762/7947

Given numbers are 906/20,762/7947

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 906,762

Least Common Multiple of Numerators i.e. LCM of 906,762 is 115062.

GCF of Denominators means GCF of 20,7947 as per the given fractions.

GCF of 20,7947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,762

LCM of Fractions 906/20,762/7947 is 115062

2 906, 762
3 453, 381
151, 127

∴ So the LCM of the given numbers is 2 x 3 x 151 x 127 = 115062

Least Common Multiple of 906,762 with GCF Formula

Least Common Multiple of 906,762 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 906,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,762) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(906,762) x common factors =6 x 1 = 6

LCM(906,762) = ( 906 × 762 ) / 6

LCM(906,762) = 690372 / 6

LCM(906,762) = 115062


Lets's calculate GCF of 20,7947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115062/1

Therefore the LCM of Fractions 906/20,762/7947 is 115062

Greatest Common Factor of 20,7947 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,7947 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 7947

List of positive integer factors of 7947 that divides 7947 without a remainder.

1,3,9,883,2649,7947

Greatest Common Factor

We found the factors 20,7947 . The biggest common factor number is the GCF number.
So the greatest common factor 20,7947 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 906/20, 762/7947

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 906/20, 762/7947?

Answer: LCM of Numerators as per given numbers 906/20, 762/7947 is

LCM of Numerators i.e. for 906,762 is 115062

GCF of denominators i.e. for 20,7947 is 1.

Thus, LCM of Fractions is 115062.Finally, LCM of Fractions for 906/20, 762/7947 is 115062.