Least Common Multiple of 625/39, 224/5916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 625/39, 224/5916 quickly i.e. 140000/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/39, 224/5916 is 140000/3.

LCM(625/39, 224/5916) = 140000/3

LCM of 625/39, 224/5916

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 625/39,224/5916

Given numbers are 625/39,224/5916

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 625,224

Least Common Multiple of Numerators i.e. LCM of 625,224 is 140000.

GCF of Denominators means GCF of 39,5916 as per the given fractions.

GCF of 39,5916 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,224

LCM of Fractions 625/39,224/5916 is 140000/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 140000

Least Common Multiple of 625,224 with GCF Formula

Least Common Multiple of 625,224 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 625,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,224) = 1

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

GCF(625,224) x common factors =1 x 1 = 1

LCM(625,224) = ( 625 × 224 ) / 1

LCM(625,224) = 140000 / 1

LCM(625,224) = 140000


Lets's calculate GCF of 39,5916

3 39, 5916
13, 1972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140000/3

Therefore the LCM of Fractions 625/39,224/5916 is 140000/3

Greatest Common Factor of 39,5916 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,5916 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 5916

List of positive integer factors of 5916 that divides 5916 without a remainder.

1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916

Greatest Common Factor

We found the factors 39,5916 . The biggest common factor number is the GCF number.
So the greatest common factor 39,5916 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 625/39, 224/5916

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 625/39, 224/5916?

Answer: LCM of Numerators as per given numbers 625/39, 224/5916 is

LCM of Numerators i.e. for 625,224 is 140000

GCF of denominators i.e. for 39,5916 is 3.

Thus, LCM of Fractions is 140000/3.Finally, LCM of Fractions for 625/39, 224/5916 is 140000/3.