Least Common Multiple of 78/497, 11/512, 325/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/497, 11/512, 325/871 quickly i.e. 21450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/497, 11/512, 325/871 is 21450.

LCM(78/497, 11/512, 325/871) = 21450

LCM of 78/497, 11/512, 325/871

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 78/497,11/512,325/871

Given numbers are 78/497,11/512,325/871

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 78,11,325

Least Common Multiple of Numerators i.e. LCM of 78,11,325 is 21450.

GCF of Denominators means GCF of 497,512,871 as per the given fractions.

GCF of 497,512,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,11,325

LCM of Fractions 78/497,11/512,325/871 is 21450

13 78, 11, 325
6, 11, 25

∴ So the LCM of the given numbers is 13 x 6 x 11 x 25 = 21450

Least Common Multiple of 78,11,325 with GCF Formula

Least Common Multiple of 78,11,325 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 78,11,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,11,325) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(78,11,325) x common factors =1 x 13 = 13

LCM(78,11,325) = ( 78 × 11 × 325 ) / 13

LCM(78,11,325) = 278850 / 13

LCM(78,11,325) = 21450


Lets's calculate GCF of 497,512,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21450/1

Therefore the LCM of Fractions 78/497,11/512,325/871 is 21450

Greatest Common Factor of 497,512,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,512,871 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 497,512,871 . The biggest common factor number is the GCF number.
So the greatest common factor 497,512,871 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 78/497, 11/512, 325/871

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 78/497, 11/512, 325/871?

Answer: LCM of Numerators as per given numbers 78/497, 11/512, 325/871 is

LCM of Numerators i.e. for 78,11,325 is 21450

GCF of denominators i.e. for 497,512,871 is 1.

Thus, LCM of Fractions is 21450.Finally, LCM of Fractions for 78/497, 11/512, 325/871 is 21450.