Least Common Multiple of 69/750, 983/811, 330/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/750, 983/811, 330/116 quickly i.e. 7460970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/750, 983/811, 330/116 is 7460970.

LCM(69/750, 983/811, 330/116) = 7460970

LCM of 69/750, 983/811, 330/116

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 69/750,983/811,330/116

Given numbers are 69/750,983/811,330/116

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 69,983,330

Least Common Multiple of Numerators i.e. LCM of 69,983,330 is 7460970.

GCF of Denominators means GCF of 750,811,116 as per the given fractions.

GCF of 750,811,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,983,330

LCM of Fractions 69/750,983/811,330/116 is 7460970

3 69, 983, 330
23, 983, 110

∴ So the LCM of the given numbers is 3 x 23 x 983 x 110 = 7460970

Least Common Multiple of 69,983,330 with GCF Formula

Least Common Multiple of 69,983,330 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 69,983,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,983,330) = 1

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

GCF(69,983,330) x common factors =1 x 3 = 3

LCM(69,983,330) = ( 69 × 983 × 330 ) / 3

LCM(69,983,330) = 22382910 / 3

LCM(69,983,330) = 7460970


Lets's calculate GCF of 750,811,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7460970/1

Therefore the LCM of Fractions 69/750,983/811,330/116 is 7460970

Greatest Common Factor of 750,811,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,811,116 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 750,811,116 . The biggest common factor number is the GCF number.
So the greatest common factor 750,811,116 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 69/750, 983/811, 330/116

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 69/750, 983/811, 330/116?

Answer: LCM of Numerators as per given numbers 69/750, 983/811, 330/116 is

LCM of Numerators i.e. for 69,983,330 is 7460970

GCF of denominators i.e. for 750,811,116 is 1.

Thus, LCM of Fractions is 7460970.Finally, LCM of Fractions for 69/750, 983/811, 330/116 is 7460970.