Least Common Multiple of 320/826, 6556/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/826, 6556/531 quickly i.e. 524480/59 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/826, 6556/531 is 524480/59.

LCM(320/826, 6556/531) = 524480/59

LCM of 320/826, 6556/531

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 320/826,6556/531

Given numbers are 320/826,6556/531

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 320,6556

Least Common Multiple of Numerators i.e. LCM of 320,6556 is 524480.

GCF of Denominators means GCF of 826,531 as per the given fractions.

GCF of 826,531 is 59 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,6556

LCM of Fractions 320/826,6556/531 is 524480/59

2 320, 6556
2 160, 3278
80, 1639

∴ So the LCM of the given numbers is 2 x 2 x 80 x 1639 = 524480

Least Common Multiple of 320,6556 with GCF Formula

Least Common Multiple of 320,6556 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 320,6556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,6556) = 4

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

GCF(320,6556) x common factors =4 x 1 = 4

LCM(320,6556) = ( 320 × 6556 ) / 4

LCM(320,6556) = 2097920 / 4

LCM(320,6556) = 524480


Lets's calculate GCF of 826,531

59 826, 531
14, 9

∴ So the GCF of the given numbers is 59 = 59

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 524480/59

Therefore the LCM of Fractions 320/826,6556/531 is 524480/59

Greatest Common Factor of 826,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,531 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 826,531 . The biggest common factor number is the GCF number.
So the greatest common factor 826,531 is 59.


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 320/826, 6556/531

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 320/826, 6556/531?

Answer: LCM of Numerators as per given numbers 320/826, 6556/531 is

LCM of Numerators i.e. for 320,6556 is 524480

GCF of denominators i.e. for 826,531 is 59.

Thus, LCM of Fractions is 524480/59.Finally, LCM of Fractions for 320/826, 6556/531 is 524480/59.