Least Common Multiple of 28/559, 38/280, 142/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/559, 38/280, 142/570 quickly i.e. 37772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/559, 38/280, 142/570 is 37772.

LCM(28/559, 38/280, 142/570) = 37772

LCM of 28/559, 38/280, 142/570

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 28/559,38/280,142/570

Given numbers are 28/559,38/280,142/570

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 28,38,142

Least Common Multiple of Numerators i.e. LCM of 28,38,142 is 37772.

GCF of Denominators means GCF of 559,280,570 as per the given fractions.

GCF of 559,280,570 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,38,142

LCM of Fractions 28/559,38/280,142/570 is 37772

2 28, 38, 142
14, 19, 71

∴ So the LCM of the given numbers is 2 x 14 x 19 x 71 = 37772

Least Common Multiple of 28,38,142 with GCF Formula

Least Common Multiple of 28,38,142 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 28,38,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,38,142) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(28,38,142) x common factors =2 x 2 = 4

LCM(28,38,142) = ( 28 × 38 × 142 ) / 4

LCM(28,38,142) = 151088 / 4

LCM(28,38,142) = 37772


Lets's calculate GCF of 559,280,570

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37772/1

Therefore the LCM of Fractions 28/559,38/280,142/570 is 37772

Greatest Common Factor of 559,280,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,280,570 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 559,280,570 . The biggest common factor number is the GCF number.
So the greatest common factor 559,280,570 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 28/559, 38/280, 142/570

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 28/559, 38/280, 142/570?

Answer: LCM of Numerators as per given numbers 28/559, 38/280, 142/570 is

LCM of Numerators i.e. for 28,38,142 is 37772

GCF of denominators i.e. for 559,280,570 is 1.

Thus, LCM of Fractions is 37772.Finally, LCM of Fractions for 28/559, 38/280, 142/570 is 37772.