Least Common Multiple of 685/21, 612/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 685/21, 612/932 quickly i.e. 419220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/21, 612/932 is 419220.

LCM(685/21, 612/932) = 419220

LCM of 685/21, 612/932

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 685/21,612/932

Given numbers are 685/21,612/932

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 685,612

Least Common Multiple of Numerators i.e. LCM of 685,612 is 419220.

GCF of Denominators means GCF of 21,932 as per the given fractions.

GCF of 21,932 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,612

LCM of Fractions 685/21,612/932 is 419220

Given numbers has no common factors except 1. So, there LCM is their product i.e 419220

Least Common Multiple of 685,612 with GCF Formula

Least Common Multiple of 685,612 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 685,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,612) = 1

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

GCF(685,612) x common factors =1 x 1 = 1

LCM(685,612) = ( 685 × 612 ) / 1

LCM(685,612) = 419220 / 1

LCM(685,612) = 419220


Lets's calculate GCF of 21,932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 419220/1

Therefore the LCM of Fractions 685/21,612/932 is 419220

Greatest Common Factor of 21,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,932 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 21,932 . The biggest common factor number is the GCF number.
So the greatest common factor 21,932 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 685/21, 612/932

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 685/21, 612/932?

Answer: LCM of Numerators as per given numbers 685/21, 612/932 is

LCM of Numerators i.e. for 685,612 is 419220

GCF of denominators i.e. for 21,932 is 1.

Thus, LCM of Fractions is 419220.Finally, LCM of Fractions for 685/21, 612/932 is 419220.