Least Common Multiple of 32/595, 149/450, 346/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/595, 149/450, 346/958 quickly i.e. 824864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/595, 149/450, 346/958 is 824864.

LCM(32/595, 149/450, 346/958) = 824864

LCM of 32/595, 149/450, 346/958

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 32/595,149/450,346/958

Given numbers are 32/595,149/450,346/958

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 32,149,346

Least Common Multiple of Numerators i.e. LCM of 32,149,346 is 824864.

GCF of Denominators means GCF of 595,450,958 as per the given fractions.

GCF of 595,450,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,149,346

LCM of Fractions 32/595,149/450,346/958 is 824864

2 32, 149, 346
16, 149, 173

∴ So the LCM of the given numbers is 2 x 16 x 149 x 173 = 824864

Least Common Multiple of 32,149,346 with GCF Formula

Least Common Multiple of 32,149,346 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 32,149,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,149,346) = 1

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

GCF(32,149,346) x common factors =1 x 2 = 2

LCM(32,149,346) = ( 32 × 149 × 346 ) / 2

LCM(32,149,346) = 1649728 / 2

LCM(32,149,346) = 824864


Lets's calculate GCF of 595,450,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 824864/1

Therefore the LCM of Fractions 32/595,149/450,346/958 is 824864

Greatest Common Factor of 595,450,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,450,958 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

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 595,450,958 . The biggest common factor number is the GCF number.
So the greatest common factor 595,450,958 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 32/595, 149/450, 346/958

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 32/595, 149/450, 346/958?

Answer: LCM of Numerators as per given numbers 32/595, 149/450, 346/958 is

LCM of Numerators i.e. for 32,149,346 is 824864

GCF of denominators i.e. for 595,450,958 is 1.

Thus, LCM of Fractions is 824864.Finally, LCM of Fractions for 32/595, 149/450, 346/958 is 824864.