Least Common Multiple of 400/718, 832/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/718, 832/600 quickly i.e. 10400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/718, 832/600 is 10400.

LCM(400/718, 832/600) = 10400

LCM of 400/718, 832/600

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 400/718,832/600

Given numbers are 400/718,832/600

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 400,832

Least Common Multiple of Numerators i.e. LCM of 400,832 is 20800.

GCF of Denominators means GCF of 718,600 as per the given fractions.

GCF of 718,600 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,832

LCM of Fractions 400/718,832/600 is 10400

2 400, 832
2 200, 416
2 100, 208
2 50, 104
25, 52

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 25 x 52 = 20800

Least Common Multiple of 400,832 with GCF Formula

Least Common Multiple of 400,832 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 400,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,832) = 16

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

GCF(400,832) x common factors =16 x 1 = 16

LCM(400,832) = ( 400 × 832 ) / 16

LCM(400,832) = 332800 / 16

LCM(400,832) = 20800


Lets's calculate GCF of 718,600

2 718, 600
359, 300

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20800/2

Therefore the LCM of Fractions 400/718,832/600 is 10400

Greatest Common Factor of 718,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,600 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

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 718,600 . The biggest common factor number is the GCF number.
So the greatest common factor 718,600 is 2.


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 400/718, 832/600

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 400/718, 832/600?

Answer: LCM of Numerators as per given numbers 400/718, 832/600 is

LCM of Numerators i.e. for 400,832 is 20800

GCF of denominators i.e. for 718,600 is 2.

Thus, LCM of Fractions is 10400.Finally, LCM of Fractions for 400/718, 832/600 is 10400.