Least Common Multiple of 518/58, 699/7608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 518/58, 699/7608 quickly i.e. 181041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/58, 699/7608 is 181041.

LCM(518/58, 699/7608) = 181041

LCM of 518/58, 699/7608

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 518/58,699/7608

Given numbers are 518/58,699/7608

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 518,699

Least Common Multiple of Numerators i.e. LCM of 518,699 is 362082.

GCF of Denominators means GCF of 58,7608 as per the given fractions.

GCF of 58,7608 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,699

LCM of Fractions 518/58,699/7608 is 181041

Given numbers has no common factors except 1. So, there LCM is their product i.e 362082

Least Common Multiple of 518,699 with GCF Formula

Least Common Multiple of 518,699 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 518,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,699) = 1

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

GCF(518,699) x common factors =1 x 1 = 1

LCM(518,699) = ( 518 × 699 ) / 1

LCM(518,699) = 362082 / 1

LCM(518,699) = 362082


Lets's calculate GCF of 58,7608

2 58, 7608
29, 3804

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362082/2

Therefore the LCM of Fractions 518/58,699/7608 is 181041

Greatest Common Factor of 58,7608 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,7608 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608

Greatest Common Factor

We found the factors 58,7608 . The biggest common factor number is the GCF number.
So the greatest common factor 58,7608 is 2.


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Frequently Asked Questions on Fractional LCM of 518/58, 699/7608

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 518/58, 699/7608?

Answer: LCM of Numerators as per given numbers 518/58, 699/7608 is

LCM of Numerators i.e. for 518,699 is 362082

GCF of denominators i.e. for 58,7608 is 2.

Thus, LCM of Fractions is 181041.Finally, LCM of Fractions for 518/58, 699/7608 is 181041.