Least Common Multiple of 752/48, 785/17, 542/733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/48, 785/17, 542/733 quickly i.e. 159976720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/48, 785/17, 542/733 is 159976720.

LCM(752/48, 785/17, 542/733) = 159976720

LCM of 752/48, 785/17, 542/733

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 752/48,785/17,542/733

Given numbers are 752/48,785/17,542/733

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 752,785,542

Least Common Multiple of Numerators i.e. LCM of 752,785,542 is 159976720.

GCF of Denominators means GCF of 48,17,733 as per the given fractions.

GCF of 48,17,733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,785,542

LCM of Fractions 752/48,785/17,542/733 is 159976720

2 752, 785, 542
376, 785, 271

∴ So the LCM of the given numbers is 2 x 376 x 785 x 271 = 159976720

Least Common Multiple of 752,785,542 with GCF Formula

Least Common Multiple of 752,785,542 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 752,785,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,785,542) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(752,785,542) x common factors =1 x 2 = 2

LCM(752,785,542) = ( 752 × 785 × 542 ) / 2

LCM(752,785,542) = 319953440 / 2

LCM(752,785,542) = 159976720


Lets's calculate GCF of 48,17,733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159976720/1

Therefore the LCM of Fractions 752/48,785/17,542/733 is 159976720

Greatest Common Factor of 48,17,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,17,733 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 48,17,733 . The biggest common factor number is the GCF number.
So the greatest common factor 48,17,733 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 752/48, 785/17, 542/733

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 752/48, 785/17, 542/733?

Answer: LCM of Numerators as per given numbers 752/48, 785/17, 542/733 is

LCM of Numerators i.e. for 752,785,542 is 159976720

GCF of denominators i.e. for 48,17,733 is 1.

Thus, LCM of Fractions is 159976720.Finally, LCM of Fractions for 752/48, 785/17, 542/733 is 159976720.