Least Common Multiple of 12/421, 792/338, 748/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/421, 792/338, 748/926 quickly i.e. 13464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/421, 792/338, 748/926 is 13464.

LCM(12/421, 792/338, 748/926) = 13464

LCM of 12/421, 792/338, 748/926

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 12/421,792/338,748/926

Given numbers are 12/421,792/338,748/926

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 12,792,748

Least Common Multiple of Numerators i.e. LCM of 12,792,748 is 13464.

GCF of Denominators means GCF of 421,338,926 as per the given fractions.

GCF of 421,338,926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,792,748

LCM of Fractions 12/421,792/338,748/926 is 13464

2 12, 792, 748
2 6, 396, 374
3 3, 198, 187
11 1, 66, 187
1, 6, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 6 x 17 = 13464

Least Common Multiple of 12,792,748 with GCF Formula

Least Common Multiple of 12,792,748 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 12,792,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,792,748) = 4

common factors(in case of two or more numbers have common factors) = 132

GCF(12,792,748) x common factors =4 x 132 = 528

LCM(12,792,748) = ( 12 × 792 × 748 ) / 528

LCM(12,792,748) = 7108992 / 528

LCM(12,792,748) = 13464


Lets's calculate GCF of 421,338,926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13464/1

Therefore the LCM of Fractions 12/421,792/338,748/926 is 13464

Greatest Common Factor of 421,338,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,338,926 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 421,338,926 . The biggest common factor number is the GCF number.
So the greatest common factor 421,338,926 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 12/421, 792/338, 748/926

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 12/421, 792/338, 748/926?

Answer: LCM of Numerators as per given numbers 12/421, 792/338, 748/926 is

LCM of Numerators i.e. for 12,792,748 is 13464

GCF of denominators i.e. for 421,338,926 is 1.

Thus, LCM of Fractions is 13464.Finally, LCM of Fractions for 12/421, 792/338, 748/926 is 13464.