Least Common Multiple of 69/76, 310/83, 771/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/76, 310/83, 771/975 quickly i.e. 5497230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/76, 310/83, 771/975 is 5497230.

LCM(69/76, 310/83, 771/975) = 5497230

LCM of 69/76, 310/83, 771/975

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 69/76,310/83,771/975

Given numbers are 69/76,310/83,771/975

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 69,310,771

Least Common Multiple of Numerators i.e. LCM of 69,310,771 is 5497230.

GCF of Denominators means GCF of 76,83,975 as per the given fractions.

GCF of 76,83,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,310,771

LCM of Fractions 69/76,310/83,771/975 is 5497230

3 69, 310, 771
23, 310, 257

∴ So the LCM of the given numbers is 3 x 23 x 310 x 257 = 5497230

Least Common Multiple of 69,310,771 with GCF Formula

Least Common Multiple of 69,310,771 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 69,310,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,310,771) = 1

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

GCF(69,310,771) x common factors =1 x 3 = 3

LCM(69,310,771) = ( 69 × 310 × 771 ) / 3

LCM(69,310,771) = 16491690 / 3

LCM(69,310,771) = 5497230


Lets's calculate GCF of 76,83,975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5497230/1

Therefore the LCM of Fractions 69/76,310/83,771/975 is 5497230

Greatest Common Factor of 76,83,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,83,975 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 76,83,975 . The biggest common factor number is the GCF number.
So the greatest common factor 76,83,975 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 69/76, 310/83, 771/975

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 69/76, 310/83, 771/975?

Answer: LCM of Numerators as per given numbers 69/76, 310/83, 771/975 is

LCM of Numerators i.e. for 69,310,771 is 5497230

GCF of denominators i.e. for 76,83,975 is 1.

Thus, LCM of Fractions is 5497230.Finally, LCM of Fractions for 69/76, 310/83, 771/975 is 5497230.