Least Common Multiple of 12/117, 110/216, 870/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/117, 110/216, 870/863 quickly i.e. 19140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/117, 110/216, 870/863 is 19140.

LCM(12/117, 110/216, 870/863) = 19140

LCM of 12/117, 110/216, 870/863

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 12/117,110/216,870/863

Given numbers are 12/117,110/216,870/863

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 12,110,870

Least Common Multiple of Numerators i.e. LCM of 12,110,870 is 19140.

GCF of Denominators means GCF of 117,216,863 as per the given fractions.

GCF of 117,216,863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,110,870

LCM of Fractions 12/117,110/216,870/863 is 19140

2 12, 110, 870
3 6, 55, 435
5 2, 55, 145
2, 11, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 11 x 29 = 19140

Least Common Multiple of 12,110,870 with GCF Formula

Least Common Multiple of 12,110,870 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 12,110,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,110,870) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(12,110,870) x common factors =2 x 30 = 60

LCM(12,110,870) = ( 12 × 110 × 870 ) / 60

LCM(12,110,870) = 1148400 / 60

LCM(12,110,870) = 19140


Lets's calculate GCF of 117,216,863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19140/1

Therefore the LCM of Fractions 12/117,110/216,870/863 is 19140

Greatest Common Factor of 117,216,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,216,863 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 117,216,863 . The biggest common factor number is the GCF number.
So the greatest common factor 117,216,863 is 1.


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 12/117, 110/216, 870/863

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 12/117, 110/216, 870/863?

Answer: LCM of Numerators as per given numbers 12/117, 110/216, 870/863 is

LCM of Numerators i.e. for 12,110,870 is 19140

GCF of denominators i.e. for 117,216,863 is 1.

Thus, LCM of Fractions is 19140.Finally, LCM of Fractions for 12/117, 110/216, 870/863 is 19140.