Least Common Multiple of 110/15, 172/2134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 110/15, 172/2134 quickly i.e. 9460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 110/15, 172/2134 is 9460.

LCM(110/15, 172/2134) = 9460

LCM of 110/15, 172/2134

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 110/15,172/2134

Given numbers are 110/15,172/2134

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 110,172

Least Common Multiple of Numerators i.e. LCM of 110,172 is 9460.

GCF of Denominators means GCF of 15,2134 as per the given fractions.

GCF of 15,2134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 110,172

LCM of Fractions 110/15,172/2134 is 9460

2 110, 172
55, 86

∴ So the LCM of the given numbers is 2 x 55 x 86 = 9460

Least Common Multiple of 110,172 with GCF Formula

Least Common Multiple of 110,172 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 110,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,172) = 2

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

GCF(110,172) x common factors =2 x 1 = 2

LCM(110,172) = ( 110 × 172 ) / 2

LCM(110,172) = 18920 / 2

LCM(110,172) = 9460


Lets's calculate GCF of 15,2134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9460/1

Therefore the LCM of Fractions 110/15,172/2134 is 9460

Greatest Common Factor of 15,2134 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,2134 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 2134

List of positive integer factors of 2134 that divides 2134 without a remainder.

1,2,11,22,97,194,1067,2134

Greatest Common Factor

We found the factors 15,2134 . The biggest common factor number is the GCF number.
So the greatest common factor 15,2134 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 110/15, 172/2134

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 110/15, 172/2134?

Answer: LCM of Numerators as per given numbers 110/15, 172/2134 is

LCM of Numerators i.e. for 110,172 is 9460

GCF of denominators i.e. for 15,2134 is 1.

Thus, LCM of Fractions is 9460.Finally, LCM of Fractions for 110/15, 172/2134 is 9460.