Least Common Multiple of 24/421, 71/780, 509/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/421, 71/780, 509/957 quickly i.e. 867336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/421, 71/780, 509/957 is 867336.

LCM(24/421, 71/780, 509/957) = 867336

LCM of 24/421, 71/780, 509/957

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 24/421,71/780,509/957

Given numbers are 24/421,71/780,509/957

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 24,71,509

Least Common Multiple of Numerators i.e. LCM of 24,71,509 is 867336.

GCF of Denominators means GCF of 421,780,957 as per the given fractions.

GCF of 421,780,957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,71,509

LCM of Fractions 24/421,71/780,509/957 is 867336

Given numbers has no common factors except 1. So, there LCM is their product i.e 867336

Least Common Multiple of 24,71,509 with GCF Formula

Least Common Multiple of 24,71,509 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 24,71,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,71,509) = 1

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

GCF(24,71,509) x common factors =1 x 1 = 1

LCM(24,71,509) = ( 24 × 71 × 509 ) / 1

LCM(24,71,509) = 867336 / 1

LCM(24,71,509) = 867336


Lets's calculate GCF of 421,780,957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 867336/1

Therefore the LCM of Fractions 24/421,71/780,509/957 is 867336

Greatest Common Factor of 421,780,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,780,957 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 421,780,957 . The biggest common factor number is the GCF number.
So the greatest common factor 421,780,957 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 24/421, 71/780, 509/957

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 24/421, 71/780, 509/957?

Answer: LCM of Numerators as per given numbers 24/421, 71/780, 509/957 is

LCM of Numerators i.e. for 24,71,509 is 867336

GCF of denominators i.e. for 421,780,957 is 1.

Thus, LCM of Fractions is 867336.Finally, LCM of Fractions for 24/421, 71/780, 509/957 is 867336.