Least Common Multiple of 15/18, 21/34, 98/12, 80/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/18, 21/34, 98/12, 80/691 quickly i.e. 11760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/18, 21/34, 98/12, 80/691 is 11760.

LCM(15/18, 21/34, 98/12, 80/691) = 11760

LCM of 15/18, 21/34, 98/12, 80/691

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 15/18,21/34,98/12,80/691

Given numbers are 15/18,21/34,98/12,80/691

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 15,21,98,80

Least Common Multiple of Numerators i.e. LCM of 15,21,98,80 is 11760.

GCF of Denominators means GCF of 18,34,12,691 as per the given fractions.

GCF of 18,34,12,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,21,98,80

LCM of Fractions 15/18,21/34,98/12,80/691 is 11760

2 15, 21, 98, 80
3 15, 21, 49, 40
5 5, 7, 49, 40
7 1, 7, 49, 8
1, 1, 7, 8

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 1 x 7 x 8 = 11760

Least Common Multiple of 15,21,98,80 with GCF Formula

Least Common Multiple of 15,21,98,80 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 15,21,98,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,21,98,80) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(15,21,98,80) x common factors =1 x 210 = 210

LCM(15,21,98,80) = ( 15 × 21 × 98 × 80 ) / 210

LCM(15,21,98,80) = 2469600 / 210

LCM(15,21,98,80) = 11760


Lets's calculate GCF of 18,34,12,691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11760/1

Therefore the LCM of Fractions 15/18,21/34,98/12,80/691 is 11760

Greatest Common Factor of 18,34,12,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,34,12,691 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 18,34,12,691 . The biggest common factor number is the GCF number.
So the greatest common factor 18,34,12,691 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 15/18, 21/34, 98/12, 80/691

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 15/18, 21/34, 98/12, 80/691?

Answer: LCM of Numerators as per given numbers 15/18, 21/34, 98/12, 80/691 is

LCM of Numerators i.e. for 15,21,98,80 is 11760

GCF of denominators i.e. for 18,34,12,691 is 1.

Thus, LCM of Fractions is 11760.Finally, LCM of Fractions for 15/18, 21/34, 98/12, 80/691 is 11760.