Least Common Multiple of 28/52, 436/22, 571/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/52, 436/22, 571/162 quickly i.e. 871346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/52, 436/22, 571/162 is 871346.

LCM(28/52, 436/22, 571/162) = 871346

LCM of 28/52, 436/22, 571/162

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 28/52,436/22,571/162

Given numbers are 28/52,436/22,571/162

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 28,436,571

Least Common Multiple of Numerators i.e. LCM of 28,436,571 is 1742692.

GCF of Denominators means GCF of 52,22,162 as per the given fractions.

GCF of 52,22,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,436,571

LCM of Fractions 28/52,436/22,571/162 is 871346

2 28, 436, 571
2 14, 218, 571
7, 109, 571

∴ So the LCM of the given numbers is 2 x 2 x 7 x 109 x 571 = 1742692

Least Common Multiple of 28,436,571 with GCF Formula

Least Common Multiple of 28,436,571 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 28,436,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,436,571) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,436,571) x common factors =1 x 4 = 4

LCM(28,436,571) = ( 28 × 436 × 571 ) / 4

LCM(28,436,571) = 6970768 / 4

LCM(28,436,571) = 1742692


Lets's calculate GCF of 52,22,162

2 52, 22, 162
26, 11, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1742692/2

Therefore the LCM of Fractions 28/52,436/22,571/162 is 871346

Greatest Common Factor of 52,22,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,22,162 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 52,22,162 . The biggest common factor number is the GCF number.
So the greatest common factor 52,22,162 is 2.


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 28/52, 436/22, 571/162

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 28/52, 436/22, 571/162?

Answer: LCM of Numerators as per given numbers 28/52, 436/22, 571/162 is

LCM of Numerators i.e. for 28,436,571 is 1742692

GCF of denominators i.e. for 52,22,162 is 2.

Thus, LCM of Fractions is 871346.Finally, LCM of Fractions for 28/52, 436/22, 571/162 is 871346.