Least Common Multiple of 566/71, 896/4200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 566/71, 896/4200 quickly i.e. 253568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/71, 896/4200 is 253568.

LCM(566/71, 896/4200) = 253568

LCM of 566/71, 896/4200

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 566/71,896/4200

Given numbers are 566/71,896/4200

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 566,896

Least Common Multiple of Numerators i.e. LCM of 566,896 is 253568.

GCF of Denominators means GCF of 71,4200 as per the given fractions.

GCF of 71,4200 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,896

LCM of Fractions 566/71,896/4200 is 253568

2 566, 896
283, 448

∴ So the LCM of the given numbers is 2 x 283 x 448 = 253568

Least Common Multiple of 566,896 with GCF Formula

Least Common Multiple of 566,896 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 566,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,896) = 2

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

GCF(566,896) x common factors =2 x 1 = 2

LCM(566,896) = ( 566 × 896 ) / 2

LCM(566,896) = 507136 / 2

LCM(566,896) = 253568


Lets's calculate GCF of 71,4200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253568/1

Therefore the LCM of Fractions 566/71,896/4200 is 253568

Greatest Common Factor of 71,4200 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,4200 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 4200

List of positive integer factors of 4200 that divides 4200 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200

Greatest Common Factor

We found the factors 71,4200 . The biggest common factor number is the GCF number.
So the greatest common factor 71,4200 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 566/71, 896/4200

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 566/71, 896/4200?

Answer: LCM of Numerators as per given numbers 566/71, 896/4200 is

LCM of Numerators i.e. for 566,896 is 253568

GCF of denominators i.e. for 71,4200 is 1.

Thus, LCM of Fractions is 253568.Finally, LCM of Fractions for 566/71, 896/4200 is 253568.