Least Common Multiple of 6988/599, 1853/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6988/599, 1853/742 quickly i.e. 12948764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6988/599, 1853/742 is 12948764.

LCM(6988/599, 1853/742) = 12948764

LCM of 6988/599, 1853/742

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 6988/599,1853/742

Given numbers are 6988/599,1853/742

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 6988,1853

Least Common Multiple of Numerators i.e. LCM of 6988,1853 is 12948764.

GCF of Denominators means GCF of 599,742 as per the given fractions.

GCF of 599,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6988,1853

LCM of Fractions 6988/599,1853/742 is 12948764

Given numbers has no common factors except 1. So, there LCM is their product i.e 12948764

Least Common Multiple of 6988,1853 with GCF Formula

Least Common Multiple of 6988,1853 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 6988,1853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6988,1853) = 1

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

GCF(6988,1853) x common factors =1 x 1 = 1

LCM(6988,1853) = ( 6988 × 1853 ) / 1

LCM(6988,1853) = 12948764 / 1

LCM(6988,1853) = 12948764


Lets's calculate GCF of 599,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12948764/1

Therefore the LCM of Fractions 6988/599,1853/742 is 12948764

Greatest Common Factor of 599,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,742 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 599,742 . The biggest common factor number is the GCF number.
So the greatest common factor 599,742 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6988/599, 1853/742

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 6988/599, 1853/742?

Answer: LCM of Numerators as per given numbers 6988/599, 1853/742 is

LCM of Numerators i.e. for 6988,1853 is 12948764

GCF of denominators i.e. for 599,742 is 1.

Thus, LCM of Fractions is 12948764.Finally, LCM of Fractions for 6988/599, 1853/742 is 12948764.