Least Common Multiple of 6/28, 35/546, 84/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/28, 35/546, 84/476 quickly i.e. 30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/28, 35/546, 84/476 is 30.

LCM(6/28, 35/546, 84/476) = 30

LCM of 6/28, 35/546, 84/476

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 6/28,35/546,84/476

Given numbers are 6/28,35/546,84/476

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 6,35,84

Least Common Multiple of Numerators i.e. LCM of 6,35,84 is 420.

GCF of Denominators means GCF of 28,546,476 as per the given fractions.

GCF of 28,546,476 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,35,84

LCM of Fractions 6/28,35/546,84/476 is 30

2 6, 35, 84
3 3, 35, 42
7 1, 35, 14
1, 5, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 5 x 2 = 420

Least Common Multiple of 6,35,84 with GCF Formula

Least Common Multiple of 6,35,84 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 6,35,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,35,84) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(6,35,84) x common factors =1 x 42 = 42

LCM(6,35,84) = ( 6 × 35 × 84 ) / 42

LCM(6,35,84) = 17640 / 42

LCM(6,35,84) = 420


Lets's calculate GCF of 28,546,476

2 28, 546, 476
7 14, 273, 238
2, 39, 34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420/14

Therefore the LCM of Fractions 6/28,35/546,84/476 is 30

Greatest Common Factor of 28,546,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,546,476 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 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 28,546,476 . The biggest common factor number is the GCF number.
So the greatest common factor 28,546,476 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 6/28, 35/546, 84/476

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 6/28, 35/546, 84/476?

Answer: LCM of Numerators as per given numbers 6/28, 35/546, 84/476 is

LCM of Numerators i.e. for 6,35,84 is 420

GCF of denominators i.e. for 28,546,476 is 14.

Thus, LCM of Fractions is 30.Finally, LCM of Fractions for 6/28, 35/546, 84/476 is 30.