Least Common Multiple of 24/426, 65/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/426, 65/525 quickly i.e. 520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/426, 65/525 is 520.

LCM(24/426, 65/525) = 520

LCM of 24/426, 65/525

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 24/426,65/525

Given numbers are 24/426,65/525

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 24,65

Least Common Multiple of Numerators i.e. LCM of 24,65 is 1560.

GCF of Denominators means GCF of 426,525 as per the given fractions.

GCF of 426,525 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,65

LCM of Fractions 24/426,65/525 is 520

Given numbers has no common factors except 1. So, there LCM is their product i.e 1560

Least Common Multiple of 24,65 with GCF Formula

Least Common Multiple of 24,65 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 24,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,65) = 1

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

GCF(24,65) x common factors =1 x 1 = 1

LCM(24,65) = ( 24 × 65 ) / 1

LCM(24,65) = 1560 / 1

LCM(24,65) = 1560


Lets's calculate GCF of 426,525

3 426, 525
142, 175

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1560/3

Therefore the LCM of Fractions 24/426,65/525 is 520

Greatest Common Factor of 426,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,525 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 426,525 . The biggest common factor number is the GCF number.
So the greatest common factor 426,525 is 3.


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 24/426, 65/525

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 24/426, 65/525?

Answer: LCM of Numerators as per given numbers 24/426, 65/525 is

LCM of Numerators i.e. for 24,65 is 1560

GCF of denominators i.e. for 426,525 is 3.

Thus, LCM of Fractions is 520.Finally, LCM of Fractions for 24/426, 65/525 is 520.