Least Common Multiple of 42/864, 49/744, 617/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/864, 49/744, 617/534 quickly i.e. 30233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/864, 49/744, 617/534 is 30233.

LCM(42/864, 49/744, 617/534) = 30233

LCM of 42/864, 49/744, 617/534

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 42/864,49/744,617/534

Given numbers are 42/864,49/744,617/534

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 42,49,617

Least Common Multiple of Numerators i.e. LCM of 42,49,617 is 181398.

GCF of Denominators means GCF of 864,744,534 as per the given fractions.

GCF of 864,744,534 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,49,617

LCM of Fractions 42/864,49/744,617/534 is 30233

7 42, 49, 617
6, 7, 617

∴ So the LCM of the given numbers is 7 x 6 x 7 x 617 = 181398

Least Common Multiple of 42,49,617 with GCF Formula

Least Common Multiple of 42,49,617 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 42,49,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,49,617) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(42,49,617) x common factors =1 x 7 = 7

LCM(42,49,617) = ( 42 × 49 × 617 ) / 7

LCM(42,49,617) = 1269786 / 7

LCM(42,49,617) = 181398


Lets's calculate GCF of 864,744,534

2 864, 744, 534
3 432, 372, 267
144, 124, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181398/6

Therefore the LCM of Fractions 42/864,49/744,617/534 is 30233

Greatest Common Factor of 864,744,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,744,534 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 864,744,534 . The biggest common factor number is the GCF number.
So the greatest common factor 864,744,534 is 6.


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 42/864, 49/744, 617/534

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 42/864, 49/744, 617/534?

Answer: LCM of Numerators as per given numbers 42/864, 49/744, 617/534 is

LCM of Numerators i.e. for 42,49,617 is 181398

GCF of denominators i.e. for 864,744,534 is 6.

Thus, LCM of Fractions is 30233.Finally, LCM of Fractions for 42/864, 49/744, 617/534 is 30233.