Least Common Multiple of 566/84, 510/5420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 566/84, 510/5420 quickly i.e. 144330/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/84, 510/5420 is 144330/4.

LCM(566/84, 510/5420) = 144330/4

LCM of 566/84, 510/5420

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 566/84,510/5420

Given numbers are 566/84,510/5420

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 566,510

Least Common Multiple of Numerators i.e. LCM of 566,510 is 144330.

GCF of Denominators means GCF of 84,5420 as per the given fractions.

GCF of 84,5420 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,510

LCM of Fractions 566/84,510/5420 is 144330/4

2 566, 510
283, 255

∴ So the LCM of the given numbers is 2 x 283 x 255 = 144330

Least Common Multiple of 566,510 with GCF Formula

Least Common Multiple of 566,510 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 566,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,510) = 2

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

GCF(566,510) x common factors =2 x 1 = 2

LCM(566,510) = ( 566 × 510 ) / 2

LCM(566,510) = 288660 / 2

LCM(566,510) = 144330


Lets's calculate GCF of 84,5420

2 84, 5420
2 42, 2710
21, 1355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144330/4

Therefore the LCM of Fractions 566/84,510/5420 is 144330/4

Greatest Common Factor of 84,5420 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,5420 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 5420

List of positive integer factors of 5420 that divides 5420 without a remainder.

1,2,4,5,10,20,271,542,1084,1355,2710,5420

Greatest Common Factor

We found the factors 84,5420 . The biggest common factor number is the GCF number.
So the greatest common factor 84,5420 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 566/84, 510/5420

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 566/84, 510/5420?

Answer: LCM of Numerators as per given numbers 566/84, 510/5420 is

LCM of Numerators i.e. for 566,510 is 144330

GCF of denominators i.e. for 84,5420 is 4.

Thus, LCM of Fractions is 144330/4.Finally, LCM of Fractions for 566/84, 510/5420 is 144330/4.