Least Common Multiple of 1239/612, 5918/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1239/612, 5918/762 quickly i.e. 1222067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1239/612, 5918/762 is 1222067.

LCM(1239/612, 5918/762) = 1222067

LCM of 1239/612, 5918/762

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 1239/612,5918/762

Given numbers are 1239/612,5918/762

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 1239,5918

Least Common Multiple of Numerators i.e. LCM of 1239,5918 is 7332402.

GCF of Denominators means GCF of 612,762 as per the given fractions.

GCF of 612,762 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1239,5918

LCM of Fractions 1239/612,5918/762 is 1222067

Given numbers has no common factors except 1. So, there LCM is their product i.e 7332402

Least Common Multiple of 1239,5918 with GCF Formula

Least Common Multiple of 1239,5918 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 1239,5918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1239,5918) = 1

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

GCF(1239,5918) x common factors =1 x 1 = 1

LCM(1239,5918) = ( 1239 × 5918 ) / 1

LCM(1239,5918) = 7332402 / 1

LCM(1239,5918) = 7332402


Lets's calculate GCF of 612,762

2 612, 762
3 306, 381
102, 127

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7332402/6

Therefore the LCM of Fractions 1239/612,5918/762 is 1222067

Greatest Common Factor of 612,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,762 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 612,762 . The biggest common factor number is the GCF number.
So the greatest common factor 612,762 is 6.


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 1239/612, 5918/762

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 1239/612, 5918/762?

Answer: LCM of Numerators as per given numbers 1239/612, 5918/762 is

LCM of Numerators i.e. for 1239,5918 is 7332402

GCF of denominators i.e. for 612,762 is 6.

Thus, LCM of Fractions is 1222067.Finally, LCM of Fractions for 1239/612, 5918/762 is 1222067.