Least Common Multiple of 20/646, 7754/9057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/646, 7754/9057 quickly i.e. 77540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/646, 7754/9057 is 77540.

LCM(20/646, 7754/9057) = 77540

LCM of 20/646, 7754/9057

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 20/646,7754/9057

Given numbers are 20/646,7754/9057

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 20,7754

Least Common Multiple of Numerators i.e. LCM of 20,7754 is 77540.

GCF of Denominators means GCF of 646,9057 as per the given fractions.

GCF of 646,9057 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,7754

LCM of Fractions 20/646,7754/9057 is 77540

2 20, 7754
10, 3877

∴ So the LCM of the given numbers is 2 x 10 x 3877 = 77540

Least Common Multiple of 20,7754 with GCF Formula

Least Common Multiple of 20,7754 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 20,7754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,7754) = 2

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

GCF(20,7754) x common factors =2 x 1 = 2

LCM(20,7754) = ( 20 × 7754 ) / 2

LCM(20,7754) = 155080 / 2

LCM(20,7754) = 77540


Lets's calculate GCF of 646,9057

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77540/1

Therefore the LCM of Fractions 20/646,7754/9057 is 77540

Greatest Common Factor of 646,9057 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,9057 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 9057

List of positive integer factors of 9057 that divides 9057 without a remainder.

1,3,3019,9057

Greatest Common Factor

We found the factors 646,9057 . The biggest common factor number is the GCF number.
So the greatest common factor 646,9057 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/646, 7754/9057

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 20/646, 7754/9057?

Answer: LCM of Numerators as per given numbers 20/646, 7754/9057 is

LCM of Numerators i.e. for 20,7754 is 77540

GCF of denominators i.e. for 646,9057 is 1.

Thus, LCM of Fractions is 77540.Finally, LCM of Fractions for 20/646, 7754/9057 is 77540.