Least Common Multiple of 508/28, 442/28, 338/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 508/28, 442/28, 338/528 quickly i.e. 364871 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 508/28, 442/28, 338/528 is 364871.

LCM(508/28, 442/28, 338/528) = 364871

LCM of 508/28, 442/28, 338/528

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 508/28,442/28,338/528

Given numbers are 508/28,442/28,338/528

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 508,442,338

Least Common Multiple of Numerators i.e. LCM of 508,442,338 is 1459484.

GCF of Denominators means GCF of 28,28,528 as per the given fractions.

GCF of 28,28,528 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 508,442,338

LCM of Fractions 508/28,442/28,338/528 is 364871

2 508, 442, 338
13 254, 221, 169
254, 17, 13

∴ So the LCM of the given numbers is 2 x 13 x 254 x 17 x 13 = 1459484

Least Common Multiple of 508,442,338 with GCF Formula

Least Common Multiple of 508,442,338 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 508,442,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,442,338) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(508,442,338) x common factors =2 x 26 = 52

LCM(508,442,338) = ( 508 × 442 × 338 ) / 52

LCM(508,442,338) = 75893168 / 52

LCM(508,442,338) = 1459484


Lets's calculate GCF of 28,28,528

2 28, 28, 528
2 14, 14, 264
7, 7, 132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1459484/4

Therefore the LCM of Fractions 508/28,442/28,338/528 is 364871

Greatest Common Factor of 28,28,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,28,528 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 28,28,528 . The biggest common factor number is the GCF number.
So the greatest common factor 28,28,528 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 508/28, 442/28, 338/528

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 508/28, 442/28, 338/528?

Answer: LCM of Numerators as per given numbers 508/28, 442/28, 338/528 is

LCM of Numerators i.e. for 508,442,338 is 1459484

GCF of denominators i.e. for 28,28,528 is 4.

Thus, LCM of Fractions is 364871.Finally, LCM of Fractions for 508/28, 442/28, 338/528 is 364871.