Least Common Multiple of 941/30, 712/12, 694/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 941/30, 712/12, 694/253 quickly i.e. 232487224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 941/30, 712/12, 694/253 is 232487224.

LCM(941/30, 712/12, 694/253) = 232487224

LCM of 941/30, 712/12, 694/253

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 941/30,712/12,694/253

Given numbers are 941/30,712/12,694/253

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 941,712,694

Least Common Multiple of Numerators i.e. LCM of 941,712,694 is 232487224.

GCF of Denominators means GCF of 30,12,253 as per the given fractions.

GCF of 30,12,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 941,712,694

LCM of Fractions 941/30,712/12,694/253 is 232487224

2 941, 712, 694
941, 356, 347

∴ So the LCM of the given numbers is 2 x 941 x 356 x 347 = 232487224

Least Common Multiple of 941,712,694 with GCF Formula

Least Common Multiple of 941,712,694 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 941,712,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,712,694) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(941,712,694) x common factors =1 x 2 = 2

LCM(941,712,694) = ( 941 × 712 × 694 ) / 2

LCM(941,712,694) = 464974448 / 2

LCM(941,712,694) = 232487224


Lets's calculate GCF of 30,12,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232487224/1

Therefore the LCM of Fractions 941/30,712/12,694/253 is 232487224

Greatest Common Factor of 30,12,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,12,253 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 30,12,253 . The biggest common factor number is the GCF number.
So the greatest common factor 30,12,253 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 941/30, 712/12, 694/253

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 941/30, 712/12, 694/253?

Answer: LCM of Numerators as per given numbers 941/30, 712/12, 694/253 is

LCM of Numerators i.e. for 941,712,694 is 232487224

GCF of denominators i.e. for 30,12,253 is 1.

Thus, LCM of Fractions is 232487224.Finally, LCM of Fractions for 941/30, 712/12, 694/253 is 232487224.