Least Common Multiple of 882/40, 948/5986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 882/40, 948/5986 quickly i.e. 69678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/40, 948/5986 is 69678.

LCM(882/40, 948/5986) = 69678

LCM of 882/40, 948/5986

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 882/40,948/5986

Given numbers are 882/40,948/5986

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 882,948

Least Common Multiple of Numerators i.e. LCM of 882,948 is 139356.

GCF of Denominators means GCF of 40,5986 as per the given fractions.

GCF of 40,5986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,948

LCM of Fractions 882/40,948/5986 is 69678

2 882, 948
3 441, 474
147, 158

∴ So the LCM of the given numbers is 2 x 3 x 147 x 158 = 139356

Least Common Multiple of 882,948 with GCF Formula

Least Common Multiple of 882,948 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 882,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,948) = 6

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

GCF(882,948) x common factors =6 x 1 = 6

LCM(882,948) = ( 882 × 948 ) / 6

LCM(882,948) = 836136 / 6

LCM(882,948) = 139356


Lets's calculate GCF of 40,5986

2 40, 5986
20, 2993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139356/2

Therefore the LCM of Fractions 882/40,948/5986 is 69678

Greatest Common Factor of 40,5986 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,5986 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 5986

List of positive integer factors of 5986 that divides 5986 without a remainder.

1,2,41,73,82,146,2993,5986

Greatest Common Factor

We found the factors 40,5986 . The biggest common factor number is the GCF number.
So the greatest common factor 40,5986 is 2.


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 882/40, 948/5986

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 882/40, 948/5986?

Answer: LCM of Numerators as per given numbers 882/40, 948/5986 is

LCM of Numerators i.e. for 882,948 is 139356

GCF of denominators i.e. for 40,5986 is 2.

Thus, LCM of Fractions is 69678.Finally, LCM of Fractions for 882/40, 948/5986 is 69678.