Least Common Multiple of 41/158, 864/161, 844/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/158, 864/161, 844/600 quickly i.e. 7474464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/158, 864/161, 844/600 is 7474464.

LCM(41/158, 864/161, 844/600) = 7474464

LCM of 41/158, 864/161, 844/600

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 41/158,864/161,844/600

Given numbers are 41/158,864/161,844/600

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 41,864,844

Least Common Multiple of Numerators i.e. LCM of 41,864,844 is 7474464.

GCF of Denominators means GCF of 158,161,600 as per the given fractions.

GCF of 158,161,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,864,844

LCM of Fractions 41/158,864/161,844/600 is 7474464

2 41, 864, 844
2 41, 432, 422
41, 216, 211

∴ So the LCM of the given numbers is 2 x 2 x 41 x 216 x 211 = 7474464

Least Common Multiple of 41,864,844 with GCF Formula

Least Common Multiple of 41,864,844 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 41,864,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,864,844) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(41,864,844) x common factors =1 x 4 = 4

LCM(41,864,844) = ( 41 × 864 × 844 ) / 4

LCM(41,864,844) = 29897856 / 4

LCM(41,864,844) = 7474464


Lets's calculate GCF of 158,161,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7474464/1

Therefore the LCM of Fractions 41/158,864/161,844/600 is 7474464

Greatest Common Factor of 158,161,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,161,600 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 158,161,600 . The biggest common factor number is the GCF number.
So the greatest common factor 158,161,600 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 41/158, 864/161, 844/600

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 41/158, 864/161, 844/600?

Answer: LCM of Numerators as per given numbers 41/158, 864/161, 844/600 is

LCM of Numerators i.e. for 41,864,844 is 7474464

GCF of denominators i.e. for 158,161,600 is 1.

Thus, LCM of Fractions is 7474464.Finally, LCM of Fractions for 41/158, 864/161, 844/600 is 7474464.