Least Common Multiple of 107/544, 265/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/544, 265/463 quickly i.e. 28355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/544, 265/463 is 28355.

LCM(107/544, 265/463) = 28355

LCM of 107/544, 265/463

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 107/544,265/463

Given numbers are 107/544,265/463

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 107,265

Least Common Multiple of Numerators i.e. LCM of 107,265 is 28355.

GCF of Denominators means GCF of 544,463 as per the given fractions.

GCF of 544,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,265

LCM of Fractions 107/544,265/463 is 28355

Given numbers has no common factors except 1. So, there LCM is their product i.e 28355

Least Common Multiple of 107,265 with GCF Formula

Least Common Multiple of 107,265 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 107,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,265) = 1

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

GCF(107,265) x common factors =1 x 1 = 1

LCM(107,265) = ( 107 × 265 ) / 1

LCM(107,265) = 28355 / 1

LCM(107,265) = 28355


Lets's calculate GCF of 544,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28355/1

Therefore the LCM of Fractions 107/544,265/463 is 28355

Greatest Common Factor of 544,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,463 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 544,463 . The biggest common factor number is the GCF number.
So the greatest common factor 544,463 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 107/544, 265/463

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 107/544, 265/463?

Answer: LCM of Numerators as per given numbers 107/544, 265/463 is

LCM of Numerators i.e. for 107,265 is 28355

GCF of denominators i.e. for 544,463 is 1.

Thus, LCM of Fractions is 28355.Finally, LCM of Fractions for 107/544, 265/463 is 28355.