Least Common Multiple of 7686/987, 8092/5958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7686/987, 8092/5958 quickly i.e. 1480836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7686/987, 8092/5958 is 1480836.

LCM(7686/987, 8092/5958) = 1480836

LCM of 7686/987, 8092/5958

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 7686/987,8092/5958

Given numbers are 7686/987,8092/5958

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 7686,8092

Least Common Multiple of Numerators i.e. LCM of 7686,8092 is 4442508.

GCF of Denominators means GCF of 987,5958 as per the given fractions.

GCF of 987,5958 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7686,8092

LCM of Fractions 7686/987,8092/5958 is 1480836

2 7686, 8092
7 3843, 4046
549, 578

∴ So the LCM of the given numbers is 2 x 7 x 549 x 578 = 4442508

Least Common Multiple of 7686,8092 with GCF Formula

Least Common Multiple of 7686,8092 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 7686,8092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7686,8092) = 14

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

GCF(7686,8092) x common factors =14 x 1 = 14

LCM(7686,8092) = ( 7686 × 8092 ) / 14

LCM(7686,8092) = 62195112 / 14

LCM(7686,8092) = 4442508


Lets's calculate GCF of 987,5958

3 987, 5958
329, 1986

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4442508/3

Therefore the LCM of Fractions 7686/987,8092/5958 is 1480836

Greatest Common Factor of 987,5958 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,5958 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 5958

List of positive integer factors of 5958 that divides 5958 without a remainder.

1,2,3,6,9,18,331,662,993,1986,2979,5958

Greatest Common Factor

We found the factors 987,5958 . The biggest common factor number is the GCF number.
So the greatest common factor 987,5958 is 3.


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 7686/987, 8092/5958

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 7686/987, 8092/5958?

Answer: LCM of Numerators as per given numbers 7686/987, 8092/5958 is

LCM of Numerators i.e. for 7686,8092 is 4442508

GCF of denominators i.e. for 987,5958 is 3.

Thus, LCM of Fractions is 1480836.Finally, LCM of Fractions for 7686/987, 8092/5958 is 1480836.