Least Common Multiple of 40/10, 99/77, 77/64, 64/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/10, 99/77, 77/64, 64/637 quickly i.e. 221760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/10, 99/77, 77/64, 64/637 is 221760.

LCM(40/10, 99/77, 77/64, 64/637) = 221760

LCM of 40/10, 99/77, 77/64, 64/637

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 40/10,99/77,77/64,64/637

Given numbers are 40/10,99/77,77/64,64/637

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 40,99,77,64

Least Common Multiple of Numerators i.e. LCM of 40,99,77,64 is 221760.

GCF of Denominators means GCF of 10,77,64,637 as per the given fractions.

GCF of 10,77,64,637 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,99,77,64

LCM of Fractions 40/10,99/77,77/64,64/637 is 221760

2 40, 99, 77, 64
2 20, 99, 77, 32
2 10, 99, 77, 16
11 5, 99, 77, 8
5, 9, 7, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 5 x 9 x 7 x 8 = 221760

Least Common Multiple of 40,99,77,64 with GCF Formula

Least Common Multiple of 40,99,77,64 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 40,99,77,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,99,77,64) = 1

common factors(in case of two or more numbers have common factors) = 88

GCF(40,99,77,64) x common factors =1 x 88 = 88

LCM(40,99,77,64) = ( 40 × 99 × 77 × 64 ) / 88

LCM(40,99,77,64) = 19514880 / 88

LCM(40,99,77,64) = 221760


Lets's calculate GCF of 10,77,64,637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221760/1

Therefore the LCM of Fractions 40/10,99/77,77/64,64/637 is 221760

Greatest Common Factor of 10,77,64,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,77,64,637 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 10,77,64,637 . The biggest common factor number is the GCF number.
So the greatest common factor 10,77,64,637 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/10, 99/77, 77/64, 64/637

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 40/10, 99/77, 77/64, 64/637?

Answer: LCM of Numerators as per given numbers 40/10, 99/77, 77/64, 64/637 is

LCM of Numerators i.e. for 40,99,77,64 is 221760

GCF of denominators i.e. for 10,77,64,637 is 1.

Thus, LCM of Fractions is 221760.Finally, LCM of Fractions for 40/10, 99/77, 77/64, 64/637 is 221760.