Least Common Multiple of 612/769, 7528/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/769, 7528/491 quickly i.e. 1151784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/769, 7528/491 is 1151784.

LCM(612/769, 7528/491) = 1151784

LCM of 612/769, 7528/491

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 612/769,7528/491

Given numbers are 612/769,7528/491

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 612,7528

Least Common Multiple of Numerators i.e. LCM of 612,7528 is 1151784.

GCF of Denominators means GCF of 769,491 as per the given fractions.

GCF of 769,491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,7528

LCM of Fractions 612/769,7528/491 is 1151784

2 612, 7528
2 306, 3764
153, 1882

∴ So the LCM of the given numbers is 2 x 2 x 153 x 1882 = 1151784

Least Common Multiple of 612,7528 with GCF Formula

Least Common Multiple of 612,7528 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 612,7528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,7528) = 4

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

GCF(612,7528) x common factors =4 x 1 = 4

LCM(612,7528) = ( 612 × 7528 ) / 4

LCM(612,7528) = 4607136 / 4

LCM(612,7528) = 1151784


Lets's calculate GCF of 769,491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1151784/1

Therefore the LCM of Fractions 612/769,7528/491 is 1151784

Greatest Common Factor of 769,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,491 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 769,491 . The biggest common factor number is the GCF number.
So the greatest common factor 769,491 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 612/769, 7528/491

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 612/769, 7528/491?

Answer: LCM of Numerators as per given numbers 612/769, 7528/491 is

LCM of Numerators i.e. for 612,7528 is 1151784

GCF of denominators i.e. for 769,491 is 1.

Thus, LCM of Fractions is 1151784.Finally, LCM of Fractions for 612/769, 7528/491 is 1151784.