Least Common Multiple of 283/426, 759/223, 641/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/426, 759/223, 641/600 quickly i.e. 137684877 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/426, 759/223, 641/600 is 137684877.

LCM(283/426, 759/223, 641/600) = 137684877

LCM of 283/426, 759/223, 641/600

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 283/426,759/223,641/600

Given numbers are 283/426,759/223,641/600

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 283,759,641

Least Common Multiple of Numerators i.e. LCM of 283,759,641 is 137684877.

GCF of Denominators means GCF of 426,223,600 as per the given fractions.

GCF of 426,223,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,759,641

LCM of Fractions 283/426,759/223,641/600 is 137684877

Given numbers has no common factors except 1. So, there LCM is their product i.e 137684877

Least Common Multiple of 283,759,641 with GCF Formula

Least Common Multiple of 283,759,641 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 283,759,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,759,641) = 1

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

GCF(283,759,641) x common factors =1 x 1 = 1

LCM(283,759,641) = ( 283 × 759 × 641 ) / 1

LCM(283,759,641) = 137684877 / 1

LCM(283,759,641) = 137684877


Lets's calculate GCF of 426,223,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137684877/1

Therefore the LCM of Fractions 283/426,759/223,641/600 is 137684877

Greatest Common Factor of 426,223,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,223,600 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

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 426,223,600 . The biggest common factor number is the GCF number.
So the greatest common factor 426,223,600 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 283/426, 759/223, 641/600

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 283/426, 759/223, 641/600?

Answer: LCM of Numerators as per given numbers 283/426, 759/223, 641/600 is

LCM of Numerators i.e. for 283,759,641 is 137684877

GCF of denominators i.e. for 426,223,600 is 1.

Thus, LCM of Fractions is 137684877.Finally, LCM of Fractions for 283/426, 759/223, 641/600 is 137684877.