Least Common Multiple of 69/491, 14/108, 109/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/491, 14/108, 109/167 quickly i.e. 105294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/491, 14/108, 109/167 is 105294.

LCM(69/491, 14/108, 109/167) = 105294

LCM of 69/491, 14/108, 109/167

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 69/491,14/108,109/167

Given numbers are 69/491,14/108,109/167

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 69,14,109

Least Common Multiple of Numerators i.e. LCM of 69,14,109 is 105294.

GCF of Denominators means GCF of 491,108,167 as per the given fractions.

GCF of 491,108,167 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,14,109

LCM of Fractions 69/491,14/108,109/167 is 105294

Given numbers has no common factors except 1. So, there LCM is their product i.e 105294

Least Common Multiple of 69,14,109 with GCF Formula

Least Common Multiple of 69,14,109 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 69,14,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,14,109) = 1

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

GCF(69,14,109) x common factors =1 x 1 = 1

LCM(69,14,109) = ( 69 × 14 × 109 ) / 1

LCM(69,14,109) = 105294 / 1

LCM(69,14,109) = 105294


Lets's calculate GCF of 491,108,167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105294/1

Therefore the LCM of Fractions 69/491,14/108,109/167 is 105294

Greatest Common Factor of 491,108,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,108,167 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 491,108,167 . The biggest common factor number is the GCF number.
So the greatest common factor 491,108,167 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 69/491, 14/108, 109/167

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 69/491, 14/108, 109/167?

Answer: LCM of Numerators as per given numbers 69/491, 14/108, 109/167 is

LCM of Numerators i.e. for 69,14,109 is 105294

GCF of denominators i.e. for 491,108,167 is 1.

Thus, LCM of Fractions is 105294.Finally, LCM of Fractions for 69/491, 14/108, 109/167 is 105294.