Least Common Multiple of 310/69, 246/96, 529/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/69, 246/96, 529/389 quickly i.e. 20170770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/69, 246/96, 529/389 is 20170770.

LCM(310/69, 246/96, 529/389) = 20170770

LCM of 310/69, 246/96, 529/389

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 310/69,246/96,529/389

Given numbers are 310/69,246/96,529/389

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 310,246,529

Least Common Multiple of Numerators i.e. LCM of 310,246,529 is 20170770.

GCF of Denominators means GCF of 69,96,389 as per the given fractions.

GCF of 69,96,389 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,246,529

LCM of Fractions 310/69,246/96,529/389 is 20170770

2 310, 246, 529
155, 123, 529

∴ So the LCM of the given numbers is 2 x 155 x 123 x 529 = 20170770

Least Common Multiple of 310,246,529 with GCF Formula

Least Common Multiple of 310,246,529 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 310,246,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,246,529) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(310,246,529) x common factors =1 x 2 = 2

LCM(310,246,529) = ( 310 × 246 × 529 ) / 2

LCM(310,246,529) = 40341540 / 2

LCM(310,246,529) = 20170770


Lets's calculate GCF of 69,96,389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20170770/1

Therefore the LCM of Fractions 310/69,246/96,529/389 is 20170770

Greatest Common Factor of 69,96,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,96,389 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 69,96,389 . The biggest common factor number is the GCF number.
So the greatest common factor 69,96,389 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 310/69, 246/96, 529/389

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 310/69, 246/96, 529/389?

Answer: LCM of Numerators as per given numbers 310/69, 246/96, 529/389 is

LCM of Numerators i.e. for 310,246,529 is 20170770

GCF of denominators i.e. for 69,96,389 is 1.

Thus, LCM of Fractions is 20170770.Finally, LCM of Fractions for 310/69, 246/96, 529/389 is 20170770.