Least Common Multiple of 64/520, 40/207, 861/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/520, 40/207, 861/776 quickly i.e. 275520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/520, 40/207, 861/776 is 275520.

LCM(64/520, 40/207, 861/776) = 275520

LCM of 64/520, 40/207, 861/776

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 64/520,40/207,861/776

Given numbers are 64/520,40/207,861/776

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 64,40,861

Least Common Multiple of Numerators i.e. LCM of 64,40,861 is 275520.

GCF of Denominators means GCF of 520,207,776 as per the given fractions.

GCF of 520,207,776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,40,861

LCM of Fractions 64/520,40/207,861/776 is 275520

2 64, 40, 861
2 32, 20, 861
2 16, 10, 861
8, 5, 861

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 5 x 861 = 275520

Least Common Multiple of 64,40,861 with GCF Formula

Least Common Multiple of 64,40,861 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 64,40,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,40,861) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(64,40,861) x common factors =1 x 8 = 8

LCM(64,40,861) = ( 64 × 40 × 861 ) / 8

LCM(64,40,861) = 2204160 / 8

LCM(64,40,861) = 275520


Lets's calculate GCF of 520,207,776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275520/1

Therefore the LCM of Fractions 64/520,40/207,861/776 is 275520

Greatest Common Factor of 520,207,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,207,776 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 520,207,776 . The biggest common factor number is the GCF number.
So the greatest common factor 520,207,776 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/520, 40/207, 861/776

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 64/520, 40/207, 861/776?

Answer: LCM of Numerators as per given numbers 64/520, 40/207, 861/776 is

LCM of Numerators i.e. for 64,40,861 is 275520

GCF of denominators i.e. for 520,207,776 is 1.

Thus, LCM of Fractions is 275520.Finally, LCM of Fractions for 64/520, 40/207, 861/776 is 275520.