Least Common Multiple of 39/25, 24/52, 88/62, 52/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/25, 24/52, 88/62, 52/818 quickly i.e. 3432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/25, 24/52, 88/62, 52/818 is 3432.

LCM(39/25, 24/52, 88/62, 52/818) = 3432

LCM of 39/25, 24/52, 88/62, 52/818

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 39/25,24/52,88/62,52/818

Given numbers are 39/25,24/52,88/62,52/818

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 39,24,88,52

Least Common Multiple of Numerators i.e. LCM of 39,24,88,52 is 3432.

GCF of Denominators means GCF of 25,52,62,818 as per the given fractions.

GCF of 25,52,62,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,24,88,52

LCM of Fractions 39/25,24/52,88/62,52/818 is 3432

2 39, 24, 88, 52
2 39, 12, 44, 26
2 39, 6, 22, 13
3 39, 3, 11, 13
13 13, 1, 11, 13
1, 1, 11, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 1 x 1 x 11 x 1 = 3432

Least Common Multiple of 39,24,88,52 with GCF Formula

Least Common Multiple of 39,24,88,52 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 39,24,88,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,24,88,52) = 1

common factors(in case of two or more numbers have common factors) = 1248

GCF(39,24,88,52) x common factors =1 x 1248 = 1248

LCM(39,24,88,52) = ( 39 × 24 × 88 × 52 ) / 1248

LCM(39,24,88,52) = 4283136 / 1248

LCM(39,24,88,52) = 3432


Lets's calculate GCF of 25,52,62,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3432/1

Therefore the LCM of Fractions 39/25,24/52,88/62,52/818 is 3432

Greatest Common Factor of 25,52,62,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,52,62,818 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 25,52,62,818 . The biggest common factor number is the GCF number.
So the greatest common factor 25,52,62,818 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/25, 24/52, 88/62, 52/818

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 39/25, 24/52, 88/62, 52/818?

Answer: LCM of Numerators as per given numbers 39/25, 24/52, 88/62, 52/818 is

LCM of Numerators i.e. for 39,24,88,52 is 3432

GCF of denominators i.e. for 25,52,62,818 is 1.

Thus, LCM of Fractions is 3432.Finally, LCM of Fractions for 39/25, 24/52, 88/62, 52/818 is 3432.