Least Common Multiple of 69/31, 34/11, 17/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/31, 34/11, 17/760 quickly i.e. 2346 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, 34/11, 17/760 is 2346.

LCM(69/31, 34/11, 17/760) = 2346

LCM of 69/31, 34/11, 17/760

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 69/31,34/11,17/760

Given numbers are 69/31,34/11,17/760

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 69,34,17

Least Common Multiple of Numerators i.e. LCM of 69,34,17 is 2346.

GCF of Denominators means GCF of 31,11,760 as per the given fractions.

GCF of 31,11,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,34,17

LCM of Fractions 69/31,34/11,17/760 is 2346

17 69, 34, 17
69, 2, 1

∴ So the LCM of the given numbers is 17 x 69 x 2 x 1 = 2346

Least Common Multiple of 69,34,17 with GCF Formula

Least Common Multiple of 69,34,17 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 69,34,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,34,17) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(69,34,17) x common factors =1 x 17 = 17

LCM(69,34,17) = ( 69 × 34 × 17 ) / 17

LCM(69,34,17) = 39882 / 17

LCM(69,34,17) = 2346


Lets's calculate GCF of 31,11,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2346/1

Therefore the LCM of Fractions 69/31,34/11,17/760 is 2346

Greatest Common Factor of 31,11,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,11,760 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 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 31,11,760 . The biggest common factor number is the GCF number.
So the greatest common factor 31,11,760 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, 34/11, 17/760

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, 34/11, 17/760?

Answer: LCM of Numerators as per given numbers 69/31, 34/11, 17/760 is

LCM of Numerators i.e. for 69,34,17 is 2346

GCF of denominators i.e. for 31,11,760 is 1.

Thus, LCM of Fractions is 2346.Finally, LCM of Fractions for 69/31, 34/11, 17/760 is 2346.