Least Common Multiple of 592/49, 359/90, 742/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 592/49, 359/90, 742/982 quickly i.e. 78847888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 592/49, 359/90, 742/982 is 78847888.

LCM(592/49, 359/90, 742/982) = 78847888

LCM of 592/49, 359/90, 742/982

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 592/49,359/90,742/982

Given numbers are 592/49,359/90,742/982

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 592,359,742

Least Common Multiple of Numerators i.e. LCM of 592,359,742 is 78847888.

GCF of Denominators means GCF of 49,90,982 as per the given fractions.

GCF of 49,90,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 592,359,742

LCM of Fractions 592/49,359/90,742/982 is 78847888

2 592, 359, 742
296, 359, 371

∴ So the LCM of the given numbers is 2 x 296 x 359 x 371 = 78847888

Least Common Multiple of 592,359,742 with GCF Formula

Least Common Multiple of 592,359,742 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 592,359,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,359,742) = 1

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

GCF(592,359,742) x common factors =1 x 2 = 2

LCM(592,359,742) = ( 592 × 359 × 742 ) / 2

LCM(592,359,742) = 157695776 / 2

LCM(592,359,742) = 78847888


Lets's calculate GCF of 49,90,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78847888/1

Therefore the LCM of Fractions 592/49,359/90,742/982 is 78847888

Greatest Common Factor of 49,90,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,90,982 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 49,90,982 . The biggest common factor number is the GCF number.
So the greatest common factor 49,90,982 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 592/49, 359/90, 742/982

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 592/49, 359/90, 742/982?

Answer: LCM of Numerators as per given numbers 592/49, 359/90, 742/982 is

LCM of Numerators i.e. for 592,359,742 is 78847888

GCF of denominators i.e. for 49,90,982 is 1.

Thus, LCM of Fractions is 78847888.Finally, LCM of Fractions for 592/49, 359/90, 742/982 is 78847888.