Least Common Multiple of 5586/61, 9942/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5586/61, 9942/862 quickly i.e. 9256002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5586/61, 9942/862 is 9256002.

LCM(5586/61, 9942/862) = 9256002

LCM of 5586/61, 9942/862

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 5586/61,9942/862

Given numbers are 5586/61,9942/862

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 5586,9942

Least Common Multiple of Numerators i.e. LCM of 5586,9942 is 9256002.

GCF of Denominators means GCF of 61,862 as per the given fractions.

GCF of 61,862 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5586,9942

LCM of Fractions 5586/61,9942/862 is 9256002

2 5586, 9942
3 2793, 4971
931, 1657

∴ So the LCM of the given numbers is 2 x 3 x 931 x 1657 = 9256002

Least Common Multiple of 5586,9942 with GCF Formula

Least Common Multiple of 5586,9942 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 5586,9942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5586,9942) = 6

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

GCF(5586,9942) x common factors =6 x 1 = 6

LCM(5586,9942) = ( 5586 × 9942 ) / 6

LCM(5586,9942) = 55536012 / 6

LCM(5586,9942) = 9256002


Lets's calculate GCF of 61,862

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9256002/1

Therefore the LCM of Fractions 5586/61,9942/862 is 9256002

Greatest Common Factor of 61,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,862 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 61,862 . The biggest common factor number is the GCF number.
So the greatest common factor 61,862 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5586/61, 9942/862

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 5586/61, 9942/862?

Answer: LCM of Numerators as per given numbers 5586/61, 9942/862 is

LCM of Numerators i.e. for 5586,9942 is 9256002

GCF of denominators i.e. for 61,862 is 1.

Thus, LCM of Fractions is 9256002.Finally, LCM of Fractions for 5586/61, 9942/862 is 9256002.