Least Common Multiple of 18/109, 117/70, 920/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/109, 117/70, 920/698 quickly i.e. 107640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/109, 117/70, 920/698 is 107640.

LCM(18/109, 117/70, 920/698) = 107640

LCM of 18/109, 117/70, 920/698

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 18/109,117/70,920/698

Given numbers are 18/109,117/70,920/698

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 18,117,920

Least Common Multiple of Numerators i.e. LCM of 18,117,920 is 107640.

GCF of Denominators means GCF of 109,70,698 as per the given fractions.

GCF of 109,70,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,117,920

LCM of Fractions 18/109,117/70,920/698 is 107640

2 18, 117, 920
3 9, 117, 460
3 3, 39, 460
1, 13, 460

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 13 x 460 = 107640

Least Common Multiple of 18,117,920 with GCF Formula

Least Common Multiple of 18,117,920 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 18,117,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,117,920) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,117,920) x common factors =1 x 18 = 18

LCM(18,117,920) = ( 18 × 117 × 920 ) / 18

LCM(18,117,920) = 1937520 / 18

LCM(18,117,920) = 107640


Lets's calculate GCF of 109,70,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107640/1

Therefore the LCM of Fractions 18/109,117/70,920/698 is 107640

Greatest Common Factor of 109,70,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,70,698 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 109,70,698 . The biggest common factor number is the GCF number.
So the greatest common factor 109,70,698 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 18/109, 117/70, 920/698

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 18/109, 117/70, 920/698?

Answer: LCM of Numerators as per given numbers 18/109, 117/70, 920/698 is

LCM of Numerators i.e. for 18,117,920 is 107640

GCF of denominators i.e. for 109,70,698 is 1.

Thus, LCM of Fractions is 107640.Finally, LCM of Fractions for 18/109, 117/70, 920/698 is 107640.