Least Common Multiple of 621/872, 460/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 621/872, 460/374 quickly i.e. 6210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 621/872, 460/374 is 6210.

LCM(621/872, 460/374) = 6210

LCM of 621/872, 460/374

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 621/872,460/374

Given numbers are 621/872,460/374

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 621,460

Least Common Multiple of Numerators i.e. LCM of 621,460 is 12420.

GCF of Denominators means GCF of 872,374 as per the given fractions.

GCF of 872,374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 621,460

LCM of Fractions 621/872,460/374 is 6210

23 621, 460
27, 20

∴ So the LCM of the given numbers is 23 x 27 x 20 = 12420

Least Common Multiple of 621,460 with GCF Formula

Least Common Multiple of 621,460 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 621,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,460) = 23

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

GCF(621,460) x common factors =23 x 1 = 23

LCM(621,460) = ( 621 × 460 ) / 23

LCM(621,460) = 285660 / 23

LCM(621,460) = 12420


Lets's calculate GCF of 872,374

2 872, 374
436, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12420/2

Therefore the LCM of Fractions 621/872,460/374 is 6210

Greatest Common Factor of 872,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,374 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 872,374 . The biggest common factor number is the GCF number.
So the greatest common factor 872,374 is 2.


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 621/872, 460/374

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 621/872, 460/374?

Answer: LCM of Numerators as per given numbers 621/872, 460/374 is

LCM of Numerators i.e. for 621,460 is 12420

GCF of denominators i.e. for 872,374 is 2.

Thus, LCM of Fractions is 6210.Finally, LCM of Fractions for 621/872, 460/374 is 6210.