Least Common Multiple of 412/735, 941/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/735, 941/772 quickly i.e. 387692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/735, 941/772 is 387692.

LCM(412/735, 941/772) = 387692

LCM of 412/735, 941/772

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 412/735,941/772

Given numbers are 412/735,941/772

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 412,941

Least Common Multiple of Numerators i.e. LCM of 412,941 is 387692.

GCF of Denominators means GCF of 735,772 as per the given fractions.

GCF of 735,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,941

LCM of Fractions 412/735,941/772 is 387692

Given numbers has no common factors except 1. So, there LCM is their product i.e 387692

Least Common Multiple of 412,941 with GCF Formula

Least Common Multiple of 412,941 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 412,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,941) = 1

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

GCF(412,941) x common factors =1 x 1 = 1

LCM(412,941) = ( 412 × 941 ) / 1

LCM(412,941) = 387692 / 1

LCM(412,941) = 387692


Lets's calculate GCF of 735,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387692/1

Therefore the LCM of Fractions 412/735,941/772 is 387692

Greatest Common Factor of 735,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,772 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 735,772 . The biggest common factor number is the GCF number.
So the greatest common factor 735,772 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 412/735, 941/772

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 412/735, 941/772?

Answer: LCM of Numerators as per given numbers 412/735, 941/772 is

LCM of Numerators i.e. for 412,941 is 387692

GCF of denominators i.e. for 735,772 is 1.

Thus, LCM of Fractions is 387692.Finally, LCM of Fractions for 412/735, 941/772 is 387692.