Least Common Multiple of 544/843, 344/763, 861/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 544/843, 344/763, 861/834 quickly i.e. 20140512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/843, 344/763, 861/834 is 20140512.

LCM(544/843, 344/763, 861/834) = 20140512

LCM of 544/843, 344/763, 861/834

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 544/843,344/763,861/834

Given numbers are 544/843,344/763,861/834

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 544,344,861

Least Common Multiple of Numerators i.e. LCM of 544,344,861 is 20140512.

GCF of Denominators means GCF of 843,763,834 as per the given fractions.

GCF of 843,763,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,344,861

LCM of Fractions 544/843,344/763,861/834 is 20140512

2 544, 344, 861
2 272, 172, 861
2 136, 86, 861
68, 43, 861

∴ So the LCM of the given numbers is 2 x 2 x 2 x 68 x 43 x 861 = 20140512

Least Common Multiple of 544,344,861 with GCF Formula

Least Common Multiple of 544,344,861 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 544,344,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,344,861) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(544,344,861) x common factors =1 x 8 = 8

LCM(544,344,861) = ( 544 × 344 × 861 ) / 8

LCM(544,344,861) = 161124096 / 8

LCM(544,344,861) = 20140512


Lets's calculate GCF of 843,763,834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20140512/1

Therefore the LCM of Fractions 544/843,344/763,861/834 is 20140512

Greatest Common Factor of 843,763,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,763,834 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 843,763,834 . The biggest common factor number is the GCF number.
So the greatest common factor 843,763,834 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 544/843, 344/763, 861/834

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 544/843, 344/763, 861/834?

Answer: LCM of Numerators as per given numbers 544/843, 344/763, 861/834 is

LCM of Numerators i.e. for 544,344,861 is 20140512

GCF of denominators i.e. for 843,763,834 is 1.

Thus, LCM of Fractions is 20140512.Finally, LCM of Fractions for 544/843, 344/763, 861/834 is 20140512.