Least Common Multiple of 64/516, 6328/3835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/516, 6328/3835 quickly i.e. 50624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/516, 6328/3835 is 50624.

LCM(64/516, 6328/3835) = 50624

LCM of 64/516, 6328/3835

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 64/516,6328/3835

Given numbers are 64/516,6328/3835

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 64,6328

Least Common Multiple of Numerators i.e. LCM of 64,6328 is 50624.

GCF of Denominators means GCF of 516,3835 as per the given fractions.

GCF of 516,3835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,6328

LCM of Fractions 64/516,6328/3835 is 50624

2 64, 6328
2 32, 3164
2 16, 1582
8, 791

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 791 = 50624

Least Common Multiple of 64,6328 with GCF Formula

Least Common Multiple of 64,6328 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 64,6328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,6328) = 8

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

GCF(64,6328) x common factors =8 x 1 = 8

LCM(64,6328) = ( 64 × 6328 ) / 8

LCM(64,6328) = 404992 / 8

LCM(64,6328) = 50624


Lets's calculate GCF of 516,3835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50624/1

Therefore the LCM of Fractions 64/516,6328/3835 is 50624

Greatest Common Factor of 516,3835 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,3835 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 3835

List of positive integer factors of 3835 that divides 3835 without a remainder.

1,5,13,59,65,295,767,3835

Greatest Common Factor

We found the factors 516,3835 . The biggest common factor number is the GCF number.
So the greatest common factor 516,3835 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 64/516, 6328/3835

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 64/516, 6328/3835?

Answer: LCM of Numerators as per given numbers 64/516, 6328/3835 is

LCM of Numerators i.e. for 64,6328 is 50624

GCF of denominators i.e. for 516,3835 is 1.

Thus, LCM of Fractions is 50624.Finally, LCM of Fractions for 64/516, 6328/3835 is 50624.