Least Common Multiple of 28/409, 136/126, 528/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/409, 136/126, 528/584 quickly i.e. 62832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/409, 136/126, 528/584 is 62832.

LCM(28/409, 136/126, 528/584) = 62832

LCM of 28/409, 136/126, 528/584

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 28/409,136/126,528/584

Given numbers are 28/409,136/126,528/584

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 28,136,528

Least Common Multiple of Numerators i.e. LCM of 28,136,528 is 62832.

GCF of Denominators means GCF of 409,126,584 as per the given fractions.

GCF of 409,126,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,136,528

LCM of Fractions 28/409,136/126,528/584 is 62832

2 28, 136, 528
2 14, 68, 264
2 7, 34, 132
7, 17, 66

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 17 x 66 = 62832

Least Common Multiple of 28,136,528 with GCF Formula

Least Common Multiple of 28,136,528 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 28,136,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,136,528) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(28,136,528) x common factors =4 x 8 = 32

LCM(28,136,528) = ( 28 × 136 × 528 ) / 32

LCM(28,136,528) = 2010624 / 32

LCM(28,136,528) = 62832


Lets's calculate GCF of 409,126,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62832/1

Therefore the LCM of Fractions 28/409,136/126,528/584 is 62832

Greatest Common Factor of 409,126,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,126,584 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 409,126,584 . The biggest common factor number is the GCF number.
So the greatest common factor 409,126,584 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 28/409, 136/126, 528/584

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 28/409, 136/126, 528/584?

Answer: LCM of Numerators as per given numbers 28/409, 136/126, 528/584 is

LCM of Numerators i.e. for 28,136,528 is 62832

GCF of denominators i.e. for 409,126,584 is 1.

Thus, LCM of Fractions is 62832.Finally, LCM of Fractions for 28/409, 136/126, 528/584 is 62832.