Least Common Multiple of 329/721, 846/848, 285/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 329/721, 846/848, 285/958 quickly i.e. 562590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 329/721, 846/848, 285/958 is 562590.

LCM(329/721, 846/848, 285/958) = 562590

LCM of 329/721, 846/848, 285/958

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 329/721,846/848,285/958

Given numbers are 329/721,846/848,285/958

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 329,846,285

Least Common Multiple of Numerators i.e. LCM of 329,846,285 is 562590.

GCF of Denominators means GCF of 721,848,958 as per the given fractions.

GCF of 721,848,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 329,846,285

LCM of Fractions 329/721,846/848,285/958 is 562590

3 329, 846, 285
47 329, 282, 95
7, 6, 95

∴ So the LCM of the given numbers is 3 x 47 x 7 x 6 x 95 = 562590

Least Common Multiple of 329,846,285 with GCF Formula

Least Common Multiple of 329,846,285 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 329,846,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,846,285) = 1

common factors(in case of two or more numbers have common factors) = 141

GCF(329,846,285) x common factors =1 x 141 = 141

LCM(329,846,285) = ( 329 × 846 × 285 ) / 141

LCM(329,846,285) = 79325190 / 141

LCM(329,846,285) = 562590


Lets's calculate GCF of 721,848,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 562590/1

Therefore the LCM of Fractions 329/721,846/848,285/958 is 562590

Greatest Common Factor of 721,848,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,848,958 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 721,848,958 . The biggest common factor number is the GCF number.
So the greatest common factor 721,848,958 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 329/721, 846/848, 285/958

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 329/721, 846/848, 285/958?

Answer: LCM of Numerators as per given numbers 329/721, 846/848, 285/958 is

LCM of Numerators i.e. for 329,846,285 is 562590

GCF of denominators i.e. for 721,848,958 is 1.

Thus, LCM of Fractions is 562590.Finally, LCM of Fractions for 329/721, 846/848, 285/958 is 562590.