Least Common Multiple of 1042/200, 8000/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1042/200, 8000/572 quickly i.e. 1042000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1042/200, 8000/572 is 1042000.

LCM(1042/200, 8000/572) = 1042000

LCM of 1042/200, 8000/572

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 1042/200,8000/572

Given numbers are 1042/200,8000/572

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 1042,8000

Least Common Multiple of Numerators i.e. LCM of 1042,8000 is 4168000.

GCF of Denominators means GCF of 200,572 as per the given fractions.

GCF of 200,572 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1042,8000

LCM of Fractions 1042/200,8000/572 is 1042000

2 1042, 8000
521, 4000

∴ So the LCM of the given numbers is 2 x 521 x 4000 = 4168000

Least Common Multiple of 1042,8000 with GCF Formula

Least Common Multiple of 1042,8000 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 1042,8000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1042,8000) = 2

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

GCF(1042,8000) x common factors =2 x 1 = 2

LCM(1042,8000) = ( 1042 × 8000 ) / 2

LCM(1042,8000) = 8336000 / 2

LCM(1042,8000) = 4168000


Lets's calculate GCF of 200,572

2 200, 572
2 100, 286
50, 143

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4168000/4

Therefore the LCM of Fractions 1042/200,8000/572 is 1042000

Greatest Common Factor of 200,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,572 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 200,572 . The biggest common factor number is the GCF number.
So the greatest common factor 200,572 is 4.


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 1042/200, 8000/572

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 1042/200, 8000/572?

Answer: LCM of Numerators as per given numbers 1042/200, 8000/572 is

LCM of Numerators i.e. for 1042,8000 is 4168000

GCF of denominators i.e. for 200,572 is 4.

Thus, LCM of Fractions is 1042000.Finally, LCM of Fractions for 1042/200, 8000/572 is 1042000.