Least Common Multiple of 295/52, 423/6256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 295/52, 423/6256 quickly i.e. 124785/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 295/52, 423/6256 is 124785/4.

LCM(295/52, 423/6256) = 124785/4

LCM of 295/52, 423/6256

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 295/52,423/6256

Given numbers are 295/52,423/6256

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 295,423

Least Common Multiple of Numerators i.e. LCM of 295,423 is 124785.

GCF of Denominators means GCF of 52,6256 as per the given fractions.

GCF of 52,6256 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 295,423

LCM of Fractions 295/52,423/6256 is 124785/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 124785

Least Common Multiple of 295,423 with GCF Formula

Least Common Multiple of 295,423 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 295,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,423) = 1

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

GCF(295,423) x common factors =1 x 1 = 1

LCM(295,423) = ( 295 × 423 ) / 1

LCM(295,423) = 124785 / 1

LCM(295,423) = 124785


Lets's calculate GCF of 52,6256

2 52, 6256
2 26, 3128
13, 1564

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124785/4

Therefore the LCM of Fractions 295/52,423/6256 is 124785/4

Greatest Common Factor of 52,6256 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,6256 By Matching Biggest Common Factor Method

Factors of 52

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

1,2,4,13,26,52

Factors of 6256

List of positive integer factors of 6256 that divides 6256 without a remainder.

1,2,4,8,16,17,23,34,46,68,92,136,184,272,368,391,782,1564,3128,6256

Greatest Common Factor

We found the factors 52,6256 . The biggest common factor number is the GCF number.
So the greatest common factor 52,6256 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 295/52, 423/6256

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 295/52, 423/6256?

Answer: LCM of Numerators as per given numbers 295/52, 423/6256 is

LCM of Numerators i.e. for 295,423 is 124785

GCF of denominators i.e. for 52,6256 is 4.

Thus, LCM of Fractions is 124785/4.Finally, LCM of Fractions for 295/52, 423/6256 is 124785/4.