Least Common Multiple of 64/116, 44/481, 628/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/116, 44/481, 628/782 quickly i.e. 110528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/116, 44/481, 628/782 is 110528.

LCM(64/116, 44/481, 628/782) = 110528

LCM of 64/116, 44/481, 628/782

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 64/116,44/481,628/782

Given numbers are 64/116,44/481,628/782

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 64,44,628

Least Common Multiple of Numerators i.e. LCM of 64,44,628 is 110528.

GCF of Denominators means GCF of 116,481,782 as per the given fractions.

GCF of 116,481,782 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,44,628

LCM of Fractions 64/116,44/481,628/782 is 110528

2 64, 44, 628
2 32, 22, 314
16, 11, 157

∴ So the LCM of the given numbers is 2 x 2 x 16 x 11 x 157 = 110528

Least Common Multiple of 64,44,628 with GCF Formula

Least Common Multiple of 64,44,628 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 64,44,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,44,628) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(64,44,628) x common factors =4 x 4 = 16

LCM(64,44,628) = ( 64 × 44 × 628 ) / 16

LCM(64,44,628) = 1768448 / 16

LCM(64,44,628) = 110528


Lets's calculate GCF of 116,481,782

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110528/1

Therefore the LCM of Fractions 64/116,44/481,628/782 is 110528

Greatest Common Factor of 116,481,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,481,782 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 116,481,782 . The biggest common factor number is the GCF number.
So the greatest common factor 116,481,782 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 64/116, 44/481, 628/782

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 64/116, 44/481, 628/782?

Answer: LCM of Numerators as per given numbers 64/116, 44/481, 628/782 is

LCM of Numerators i.e. for 64,44,628 is 110528

GCF of denominators i.e. for 116,481,782 is 1.

Thus, LCM of Fractions is 110528.Finally, LCM of Fractions for 64/116, 44/481, 628/782 is 110528.