Least Common Multiple of 80/96, 62/26, 580/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/96, 62/26, 580/536 quickly i.e. 35960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/96, 62/26, 580/536 is 35960.

LCM(80/96, 62/26, 580/536) = 35960

LCM of 80/96, 62/26, 580/536

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 80/96,62/26,580/536

Given numbers are 80/96,62/26,580/536

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 80,62,580

Least Common Multiple of Numerators i.e. LCM of 80,62,580 is 71920.

GCF of Denominators means GCF of 96,26,536 as per the given fractions.

GCF of 96,26,536 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,62,580

LCM of Fractions 80/96,62/26,580/536 is 35960

2 80, 62, 580
2 40, 31, 290
5 20, 31, 145
4, 31, 29

∴ So the LCM of the given numbers is 2 x 2 x 5 x 4 x 31 x 29 = 71920

Least Common Multiple of 80,62,580 with GCF Formula

Least Common Multiple of 80,62,580 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 80,62,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,62,580) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(80,62,580) x common factors =2 x 20 = 40

LCM(80,62,580) = ( 80 × 62 × 580 ) / 40

LCM(80,62,580) = 2876800 / 40

LCM(80,62,580) = 71920


Lets's calculate GCF of 96,26,536

2 96, 26, 536
48, 13, 268

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71920/2

Therefore the LCM of Fractions 80/96,62/26,580/536 is 35960

Greatest Common Factor of 96,26,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,26,536 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 96,26,536 . The biggest common factor number is the GCF number.
So the greatest common factor 96,26,536 is 2.


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 80/96, 62/26, 580/536

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 80/96, 62/26, 580/536?

Answer: LCM of Numerators as per given numbers 80/96, 62/26, 580/536 is

LCM of Numerators i.e. for 80,62,580 is 71920

GCF of denominators i.e. for 96,26,536 is 2.

Thus, LCM of Fractions is 35960.Finally, LCM of Fractions for 80/96, 62/26, 580/536 is 35960.