Least Common Multiple of 265/476, 5010/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 265/476, 5010/410 quickly i.e. 132765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 265/476, 5010/410 is 132765.

LCM(265/476, 5010/410) = 132765

LCM of 265/476, 5010/410

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 265/476,5010/410

Given numbers are 265/476,5010/410

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 265,5010

Least Common Multiple of Numerators i.e. LCM of 265,5010 is 265530.

GCF of Denominators means GCF of 476,410 as per the given fractions.

GCF of 476,410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 265,5010

LCM of Fractions 265/476,5010/410 is 132765

5 265, 5010
53, 1002

∴ So the LCM of the given numbers is 5 x 53 x 1002 = 265530

Least Common Multiple of 265,5010 with GCF Formula

Least Common Multiple of 265,5010 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 265,5010 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,5010) = 5

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

GCF(265,5010) x common factors =5 x 1 = 5

LCM(265,5010) = ( 265 × 5010 ) / 5

LCM(265,5010) = 1327650 / 5

LCM(265,5010) = 265530


Lets's calculate GCF of 476,410

2 476, 410
238, 205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265530/2

Therefore the LCM of Fractions 265/476,5010/410 is 132765

Greatest Common Factor of 476,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,410 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 476,410 . The biggest common factor number is the GCF number.
So the greatest common factor 476,410 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 265/476, 5010/410

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 265/476, 5010/410?

Answer: LCM of Numerators as per given numbers 265/476, 5010/410 is

LCM of Numerators i.e. for 265,5010 is 265530

GCF of denominators i.e. for 476,410 is 2.

Thus, LCM of Fractions is 132765.Finally, LCM of Fractions for 265/476, 5010/410 is 132765.