Least Common Multiple of 684/12, 157/1099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 684/12, 157/1099 quickly i.e. 107388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/12, 157/1099 is 107388.

LCM(684/12, 157/1099) = 107388

LCM of 684/12, 157/1099

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 684/12,157/1099

Given numbers are 684/12,157/1099

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 684,157

Least Common Multiple of Numerators i.e. LCM of 684,157 is 107388.

GCF of Denominators means GCF of 12,1099 as per the given fractions.

GCF of 12,1099 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,157

LCM of Fractions 684/12,157/1099 is 107388

Given numbers has no common factors except 1. So, there LCM is their product i.e 107388

Least Common Multiple of 684,157 with GCF Formula

Least Common Multiple of 684,157 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 684,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,157) = 1

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

GCF(684,157) x common factors =1 x 1 = 1

LCM(684,157) = ( 684 × 157 ) / 1

LCM(684,157) = 107388 / 1

LCM(684,157) = 107388


Lets's calculate GCF of 12,1099

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107388/1

Therefore the LCM of Fractions 684/12,157/1099 is 107388

Greatest Common Factor of 12,1099 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,1099 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

Factors of 1099

List of positive integer factors of 1099 that divides 1099 without a remainder.

1,7,157,1099

Greatest Common Factor

We found the factors 12,1099 . The biggest common factor number is the GCF number.
So the greatest common factor 12,1099 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 684/12, 157/1099

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 684/12, 157/1099?

Answer: LCM of Numerators as per given numbers 684/12, 157/1099 is

LCM of Numerators i.e. for 684,157 is 107388

GCF of denominators i.e. for 12,1099 is 1.

Thus, LCM of Fractions is 107388.Finally, LCM of Fractions for 684/12, 157/1099 is 107388.