Least Common Multiple of 310/925, 1652/2534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 310/925, 1652/2534 quickly i.e. 256060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/925, 1652/2534 is 256060.

LCM(310/925, 1652/2534) = 256060

LCM of 310/925, 1652/2534

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 310/925,1652/2534

Given numbers are 310/925,1652/2534

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 310,1652

Least Common Multiple of Numerators i.e. LCM of 310,1652 is 256060.

GCF of Denominators means GCF of 925,2534 as per the given fractions.

GCF of 925,2534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,1652

LCM of Fractions 310/925,1652/2534 is 256060

2 310, 1652
155, 826

∴ So the LCM of the given numbers is 2 x 155 x 826 = 256060

Least Common Multiple of 310,1652 with GCF Formula

Least Common Multiple of 310,1652 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 310,1652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,1652) = 2

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

GCF(310,1652) x common factors =2 x 1 = 2

LCM(310,1652) = ( 310 × 1652 ) / 2

LCM(310,1652) = 512120 / 2

LCM(310,1652) = 256060


Lets's calculate GCF of 925,2534

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256060/1

Therefore the LCM of Fractions 310/925,1652/2534 is 256060

Greatest Common Factor of 925,2534 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,2534 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 2534

List of positive integer factors of 2534 that divides 2534 without a remainder.

1,2,7,14,181,362,1267,2534

Greatest Common Factor

We found the factors 925,2534 . The biggest common factor number is the GCF number.
So the greatest common factor 925,2534 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 310/925, 1652/2534

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 310/925, 1652/2534?

Answer: LCM of Numerators as per given numbers 310/925, 1652/2534 is

LCM of Numerators i.e. for 310,1652 is 256060

GCF of denominators i.e. for 925,2534 is 1.

Thus, LCM of Fractions is 256060.Finally, LCM of Fractions for 310/925, 1652/2534 is 256060.