Least Common Multiple of 799/318, 582/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 799/318, 582/876 quickly i.e. 77503 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 799/318, 582/876 is 77503.

LCM(799/318, 582/876) = 77503

LCM of 799/318, 582/876

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 799/318,582/876

Given numbers are 799/318,582/876

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 799,582

Least Common Multiple of Numerators i.e. LCM of 799,582 is 465018.

GCF of Denominators means GCF of 318,876 as per the given fractions.

GCF of 318,876 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 799,582

LCM of Fractions 799/318,582/876 is 77503

Given numbers has no common factors except 1. So, there LCM is their product i.e 465018

Least Common Multiple of 799,582 with GCF Formula

Least Common Multiple of 799,582 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 799,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,582) = 1

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

GCF(799,582) x common factors =1 x 1 = 1

LCM(799,582) = ( 799 × 582 ) / 1

LCM(799,582) = 465018 / 1

LCM(799,582) = 465018


Lets's calculate GCF of 318,876

2 318, 876
3 159, 438
53, 146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 465018/6

Therefore the LCM of Fractions 799/318,582/876 is 77503

Greatest Common Factor of 318,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,876 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 318,876 . The biggest common factor number is the GCF number.
So the greatest common factor 318,876 is 6.


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Frequently Asked Questions on Fractional LCM of 799/318, 582/876

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 799/318, 582/876?

Answer: LCM of Numerators as per given numbers 799/318, 582/876 is

LCM of Numerators i.e. for 799,582 is 465018

GCF of denominators i.e. for 318,876 is 6.

Thus, LCM of Fractions is 77503.Finally, LCM of Fractions for 799/318, 582/876 is 77503.