Least Common Multiple of 612/28, 627/76, 429/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/28, 627/76, 429/921 quickly i.e. 1662804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/28, 627/76, 429/921 is 1662804.

LCM(612/28, 627/76, 429/921) = 1662804

LCM of 612/28, 627/76, 429/921

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 612/28,627/76,429/921

Given numbers are 612/28,627/76,429/921

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 612,627,429

Least Common Multiple of Numerators i.e. LCM of 612,627,429 is 1662804.

GCF of Denominators means GCF of 28,76,921 as per the given fractions.

GCF of 28,76,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,627,429

LCM of Fractions 612/28,627/76,429/921 is 1662804

3 612, 627, 429
11 204, 209, 143
204, 19, 13

∴ So the LCM of the given numbers is 3 x 11 x 204 x 19 x 13 = 1662804

Least Common Multiple of 612,627,429 with GCF Formula

Least Common Multiple of 612,627,429 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 612,627,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,627,429) = 3

common factors(in case of two or more numbers have common factors) = 33

GCF(612,627,429) x common factors =3 x 33 = 99

LCM(612,627,429) = ( 612 × 627 × 429 ) / 99

LCM(612,627,429) = 164617596 / 99

LCM(612,627,429) = 1662804


Lets's calculate GCF of 28,76,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1662804/1

Therefore the LCM of Fractions 612/28,627/76,429/921 is 1662804

Greatest Common Factor of 28,76,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,76,921 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 28,76,921 . The biggest common factor number is the GCF number.
So the greatest common factor 28,76,921 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 612/28, 627/76, 429/921

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 612/28, 627/76, 429/921?

Answer: LCM of Numerators as per given numbers 612/28, 627/76, 429/921 is

LCM of Numerators i.e. for 612,627,429 is 1662804

GCF of denominators i.e. for 28,76,921 is 1.

Thus, LCM of Fractions is 1662804.Finally, LCM of Fractions for 612/28, 627/76, 429/921 is 1662804.