Least Common Multiple of 344/10, 973/13, 761/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/10, 973/13, 761/828 quickly i.e. 254715832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/10, 973/13, 761/828 is 254715832.

LCM(344/10, 973/13, 761/828) = 254715832

LCM of 344/10, 973/13, 761/828

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 344/10,973/13,761/828

Given numbers are 344/10,973/13,761/828

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 344,973,761

Least Common Multiple of Numerators i.e. LCM of 344,973,761 is 254715832.

GCF of Denominators means GCF of 10,13,828 as per the given fractions.

GCF of 10,13,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,973,761

LCM of Fractions 344/10,973/13,761/828 is 254715832

Given numbers has no common factors except 1. So, there LCM is their product i.e 254715832

Least Common Multiple of 344,973,761 with GCF Formula

Least Common Multiple of 344,973,761 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 344,973,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,973,761) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(344,973,761) x common factors =1 x 1 = 1

LCM(344,973,761) = ( 344 × 973 × 761 ) / 1

LCM(344,973,761) = 254715832 / 1

LCM(344,973,761) = 254715832


Lets's calculate GCF of 10,13,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254715832/1

Therefore the LCM of Fractions 344/10,973/13,761/828 is 254715832

Greatest Common Factor of 10,13,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,13,828 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 13

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

1,13

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 10,13,828 . The biggest common factor number is the GCF number.
So the greatest common factor 10,13,828 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 344/10, 973/13, 761/828

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 344/10, 973/13, 761/828?

Answer: LCM of Numerators as per given numbers 344/10, 973/13, 761/828 is

LCM of Numerators i.e. for 344,973,761 is 254715832

GCF of denominators i.e. for 10,13,828 is 1.

Thus, LCM of Fractions is 254715832.Finally, LCM of Fractions for 344/10, 973/13, 761/828 is 254715832.