Least Common Multiple of 107/14, 558/9109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 107/14, 558/9109 quickly i.e. 59706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/14, 558/9109 is 59706.

LCM(107/14, 558/9109) = 59706

LCM of 107/14, 558/9109

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 107/14,558/9109

Given numbers are 107/14,558/9109

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 107,558

Least Common Multiple of Numerators i.e. LCM of 107,558 is 59706.

GCF of Denominators means GCF of 14,9109 as per the given fractions.

GCF of 14,9109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,558

LCM of Fractions 107/14,558/9109 is 59706

Given numbers has no common factors except 1. So, there LCM is their product i.e 59706

Least Common Multiple of 107,558 with GCF Formula

Least Common Multiple of 107,558 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 107,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,558) = 1

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

GCF(107,558) x common factors =1 x 1 = 1

LCM(107,558) = ( 107 × 558 ) / 1

LCM(107,558) = 59706 / 1

LCM(107,558) = 59706


Lets's calculate GCF of 14,9109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59706/1

Therefore the LCM of Fractions 107/14,558/9109 is 59706

Greatest Common Factor of 14,9109 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,9109 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 9109

List of positive integer factors of 9109 that divides 9109 without a remainder.

1,9109

Greatest Common Factor

We found the factors 14,9109 . The biggest common factor number is the GCF number.
So the greatest common factor 14,9109 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 107/14, 558/9109

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 107/14, 558/9109?

Answer: LCM of Numerators as per given numbers 107/14, 558/9109 is

LCM of Numerators i.e. for 107,558 is 59706

GCF of denominators i.e. for 14,9109 is 1.

Thus, LCM of Fractions is 59706.Finally, LCM of Fractions for 107/14, 558/9109 is 59706.