Least Common Multiple of 456/60, 725/5979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/60, 725/5979 quickly i.e. 110200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/60, 725/5979 is 110200.

LCM(456/60, 725/5979) = 110200

LCM of 456/60, 725/5979

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 456/60,725/5979

Given numbers are 456/60,725/5979

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 456,725

Least Common Multiple of Numerators i.e. LCM of 456,725 is 330600.

GCF of Denominators means GCF of 60,5979 as per the given fractions.

GCF of 60,5979 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,725

LCM of Fractions 456/60,725/5979 is 110200

Given numbers has no common factors except 1. So, there LCM is their product i.e 330600

Least Common Multiple of 456,725 with GCF Formula

Least Common Multiple of 456,725 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 456,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,725) = 1

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

GCF(456,725) x common factors =1 x 1 = 1

LCM(456,725) = ( 456 × 725 ) / 1

LCM(456,725) = 330600 / 1

LCM(456,725) = 330600


Lets's calculate GCF of 60,5979

3 60, 5979
20, 1993

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330600/3

Therefore the LCM of Fractions 456/60,725/5979 is 110200

Greatest Common Factor of 60,5979 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,5979 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 5979

List of positive integer factors of 5979 that divides 5979 without a remainder.

1,3,1993,5979

Greatest Common Factor

We found the factors 60,5979 . The biggest common factor number is the GCF number.
So the greatest common factor 60,5979 is 3.


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 456/60, 725/5979

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 456/60, 725/5979?

Answer: LCM of Numerators as per given numbers 456/60, 725/5979 is

LCM of Numerators i.e. for 456,725 is 330600

GCF of denominators i.e. for 60,5979 is 3.

Thus, LCM of Fractions is 110200.Finally, LCM of Fractions for 456/60, 725/5979 is 110200.