Least Common Multiple of 48/502, 2452/7139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/502, 2452/7139 quickly i.e. 29424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/502, 2452/7139 is 29424.

LCM(48/502, 2452/7139) = 29424

LCM of 48/502, 2452/7139

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 48/502,2452/7139

Given numbers are 48/502,2452/7139

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 48,2452

Least Common Multiple of Numerators i.e. LCM of 48,2452 is 29424.

GCF of Denominators means GCF of 502,7139 as per the given fractions.

GCF of 502,7139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,2452

LCM of Fractions 48/502,2452/7139 is 29424

2 48, 2452
2 24, 1226
12, 613

∴ So the LCM of the given numbers is 2 x 2 x 12 x 613 = 29424

Least Common Multiple of 48,2452 with GCF Formula

Least Common Multiple of 48,2452 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 48,2452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,2452) = 4

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

GCF(48,2452) x common factors =4 x 1 = 4

LCM(48,2452) = ( 48 × 2452 ) / 4

LCM(48,2452) = 117696 / 4

LCM(48,2452) = 29424


Lets's calculate GCF of 502,7139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29424/1

Therefore the LCM of Fractions 48/502,2452/7139 is 29424

Greatest Common Factor of 502,7139 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,7139 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 7139

List of positive integer factors of 7139 that divides 7139 without a remainder.

1,11,59,121,649,7139

Greatest Common Factor

We found the factors 502,7139 . The biggest common factor number is the GCF number.
So the greatest common factor 502,7139 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 48/502, 2452/7139

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 48/502, 2452/7139?

Answer: LCM of Numerators as per given numbers 48/502, 2452/7139 is

LCM of Numerators i.e. for 48,2452 is 29424

GCF of denominators i.e. for 502,7139 is 1.

Thus, LCM of Fractions is 29424.Finally, LCM of Fractions for 48/502, 2452/7139 is 29424.