Least Common Multiple of 69/31, 31/13, 120/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/31, 31/13, 120/991 quickly i.e. 85560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/31, 31/13, 120/991 is 85560.

LCM(69/31, 31/13, 120/991) = 85560

LCM of 69/31, 31/13, 120/991

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 69/31,31/13,120/991

Given numbers are 69/31,31/13,120/991

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 69,31,120

Least Common Multiple of Numerators i.e. LCM of 69,31,120 is 85560.

GCF of Denominators means GCF of 31,13,991 as per the given fractions.

GCF of 31,13,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,31,120

LCM of Fractions 69/31,31/13,120/991 is 85560

3 69, 31, 120
23, 31, 40

∴ So the LCM of the given numbers is 3 x 23 x 31 x 40 = 85560

Least Common Multiple of 69,31,120 with GCF Formula

Least Common Multiple of 69,31,120 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 69,31,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,31,120) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,31,120) x common factors =1 x 3 = 3

LCM(69,31,120) = ( 69 × 31 × 120 ) / 3

LCM(69,31,120) = 256680 / 3

LCM(69,31,120) = 85560


Lets's calculate GCF of 31,13,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85560/1

Therefore the LCM of Fractions 69/31,31/13,120/991 is 85560

Greatest Common Factor of 31,13,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,13,991 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 31,13,991 . The biggest common factor number is the GCF number.
So the greatest common factor 31,13,991 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 69/31, 31/13, 120/991

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 69/31, 31/13, 120/991?

Answer: LCM of Numerators as per given numbers 69/31, 31/13, 120/991 is

LCM of Numerators i.e. for 69,31,120 is 85560

GCF of denominators i.e. for 31,13,991 is 1.

Thus, LCM of Fractions is 85560.Finally, LCM of Fractions for 69/31, 31/13, 120/991 is 85560.