Least Common Multiple of 80/726, 32/222, 764/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/726, 32/222, 764/625 quickly i.e. 30560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/726, 32/222, 764/625 is 30560.

LCM(80/726, 32/222, 764/625) = 30560

LCM of 80/726, 32/222, 764/625

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 80/726,32/222,764/625

Given numbers are 80/726,32/222,764/625

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 80,32,764

Least Common Multiple of Numerators i.e. LCM of 80,32,764 is 30560.

GCF of Denominators means GCF of 726,222,625 as per the given fractions.

GCF of 726,222,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,32,764

LCM of Fractions 80/726,32/222,764/625 is 30560

2 80, 32, 764
2 40, 16, 382
2 20, 8, 191
2 10, 4, 191
5, 2, 191

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 2 x 191 = 30560

Least Common Multiple of 80,32,764 with GCF Formula

Least Common Multiple of 80,32,764 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 80,32,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,32,764) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(80,32,764) x common factors =4 x 16 = 64

LCM(80,32,764) = ( 80 × 32 × 764 ) / 64

LCM(80,32,764) = 1955840 / 64

LCM(80,32,764) = 30560


Lets's calculate GCF of 726,222,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30560/1

Therefore the LCM of Fractions 80/726,32/222,764/625 is 30560

Greatest Common Factor of 726,222,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,222,625 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 726,222,625 . The biggest common factor number is the GCF number.
So the greatest common factor 726,222,625 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 80/726, 32/222, 764/625

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 80/726, 32/222, 764/625?

Answer: LCM of Numerators as per given numbers 80/726, 32/222, 764/625 is

LCM of Numerators i.e. for 80,32,764 is 30560

GCF of denominators i.e. for 726,222,625 is 1.

Thus, LCM of Fractions is 30560.Finally, LCM of Fractions for 80/726, 32/222, 764/625 is 30560.