Least Common Multiple of 84/741, 23/762, 531/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/741, 23/762, 531/634 quickly i.e. 341964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/741, 23/762, 531/634 is 341964.

LCM(84/741, 23/762, 531/634) = 341964

LCM of 84/741, 23/762, 531/634

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 84/741,23/762,531/634

Given numbers are 84/741,23/762,531/634

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 84,23,531

Least Common Multiple of Numerators i.e. LCM of 84,23,531 is 341964.

GCF of Denominators means GCF of 741,762,634 as per the given fractions.

GCF of 741,762,634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,23,531

LCM of Fractions 84/741,23/762,531/634 is 341964

3 84, 23, 531
28, 23, 177

∴ So the LCM of the given numbers is 3 x 28 x 23 x 177 = 341964

Least Common Multiple of 84,23,531 with GCF Formula

Least Common Multiple of 84,23,531 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 84,23,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,23,531) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,23,531) x common factors =1 x 3 = 3

LCM(84,23,531) = ( 84 × 23 × 531 ) / 3

LCM(84,23,531) = 1025892 / 3

LCM(84,23,531) = 341964


Lets's calculate GCF of 741,762,634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341964/1

Therefore the LCM of Fractions 84/741,23/762,531/634 is 341964

Greatest Common Factor of 741,762,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,762,634 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 762

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

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

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 741,762,634 . The biggest common factor number is the GCF number.
So the greatest common factor 741,762,634 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 84/741, 23/762, 531/634

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 84/741, 23/762, 531/634?

Answer: LCM of Numerators as per given numbers 84/741, 23/762, 531/634 is

LCM of Numerators i.e. for 84,23,531 is 341964

GCF of denominators i.e. for 741,762,634 is 1.

Thus, LCM of Fractions is 341964.Finally, LCM of Fractions for 84/741, 23/762, 531/634 is 341964.