Least Common Multiple of 764/896, 5408/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/896, 5408/561 quickly i.e. 1032928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/896, 5408/561 is 1032928.

LCM(764/896, 5408/561) = 1032928

LCM of 764/896, 5408/561

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 764/896,5408/561

Given numbers are 764/896,5408/561

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 764,5408

Least Common Multiple of Numerators i.e. LCM of 764,5408 is 1032928.

GCF of Denominators means GCF of 896,561 as per the given fractions.

GCF of 896,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,5408

LCM of Fractions 764/896,5408/561 is 1032928

2 764, 5408
2 382, 2704
191, 1352

∴ So the LCM of the given numbers is 2 x 2 x 191 x 1352 = 1032928

Least Common Multiple of 764,5408 with GCF Formula

Least Common Multiple of 764,5408 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 764,5408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,5408) = 4

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

GCF(764,5408) x common factors =4 x 1 = 4

LCM(764,5408) = ( 764 × 5408 ) / 4

LCM(764,5408) = 4131712 / 4

LCM(764,5408) = 1032928


Lets's calculate GCF of 896,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1032928/1

Therefore the LCM of Fractions 764/896,5408/561 is 1032928

Greatest Common Factor of 896,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,561 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 896,561 . The biggest common factor number is the GCF number.
So the greatest common factor 896,561 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 764/896, 5408/561

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 764/896, 5408/561?

Answer: LCM of Numerators as per given numbers 764/896, 5408/561 is

LCM of Numerators i.e. for 764,5408 is 1032928

GCF of denominators i.e. for 896,561 is 1.

Thus, LCM of Fractions is 1032928.Finally, LCM of Fractions for 764/896, 5408/561 is 1032928.