Least Common Multiple of 28/336, 322/42, 522/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/336, 322/42, 522/854 quickly i.e. 12006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/336, 322/42, 522/854 is 12006.

LCM(28/336, 322/42, 522/854) = 12006

LCM of 28/336, 322/42, 522/854

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 28/336,322/42,522/854

Given numbers are 28/336,322/42,522/854

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 28,322,522

Least Common Multiple of Numerators i.e. LCM of 28,322,522 is 168084.

GCF of Denominators means GCF of 336,42,854 as per the given fractions.

GCF of 336,42,854 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,322,522

LCM of Fractions 28/336,322/42,522/854 is 12006

2 28, 322, 522
7 14, 161, 261
2, 23, 261

∴ So the LCM of the given numbers is 2 x 7 x 2 x 23 x 261 = 168084

Least Common Multiple of 28,322,522 with GCF Formula

Least Common Multiple of 28,322,522 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 28,322,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,322,522) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(28,322,522) x common factors =2 x 14 = 28

LCM(28,322,522) = ( 28 × 322 × 522 ) / 28

LCM(28,322,522) = 4706352 / 28

LCM(28,322,522) = 168084


Lets's calculate GCF of 336,42,854

2 336, 42, 854
7 168, 21, 427
24, 3, 61

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168084/14

Therefore the LCM of Fractions 28/336,322/42,522/854 is 12006

Greatest Common Factor of 336,42,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,42,854 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 336,42,854 . The biggest common factor number is the GCF number.
So the greatest common factor 336,42,854 is 14.


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 28/336, 322/42, 522/854

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 28/336, 322/42, 522/854?

Answer: LCM of Numerators as per given numbers 28/336, 322/42, 522/854 is

LCM of Numerators i.e. for 28,322,522 is 168084

GCF of denominators i.e. for 336,42,854 is 14.

Thus, LCM of Fractions is 12006.Finally, LCM of Fractions for 28/336, 322/42, 522/854 is 12006.