Least Common Multiple of 8/84, 7/66, 6/90, 16/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/84, 7/66, 6/90, 16/507 quickly i.e. 112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/84, 7/66, 6/90, 16/507 is 112.

LCM(8/84, 7/66, 6/90, 16/507) = 112

LCM of 8/84, 7/66, 6/90, 16/507

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 8/84,7/66,6/90,16/507

Given numbers are 8/84,7/66,6/90,16/507

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 8,7,6,16

Least Common Multiple of Numerators i.e. LCM of 8,7,6,16 is 336.

GCF of Denominators means GCF of 84,66,90,507 as per the given fractions.

GCF of 84,66,90,507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,7,6,16

LCM of Fractions 8/84,7/66,6/90,16/507 is 112

2 8, 7, 6, 16
2 4, 7, 3, 8
2 2, 7, 3, 4
1, 7, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 7 x 3 x 2 = 336

Least Common Multiple of 8,7,6,16 with GCF Formula

Least Common Multiple of 8,7,6,16 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 8,7,6,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,7,6,16) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(8,7,6,16) x common factors =1 x 16 = 16

LCM(8,7,6,16) = ( 8 × 7 × 6 × 16 ) / 16

LCM(8,7,6,16) = 5376 / 16

LCM(8,7,6,16) = 336


Lets's calculate GCF of 84,66,90,507

3 84, 66, 90, 507
28, 22, 30, 169

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336/3

Therefore the LCM of Fractions 8/84,7/66,6/90,16/507 is 112

Greatest Common Factor of 84,66,90,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,66,90,507 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 84,66,90,507 . The biggest common factor number is the GCF number.
So the greatest common factor 84,66,90,507 is 3.


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 8/84, 7/66, 6/90, 16/507

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 8/84, 7/66, 6/90, 16/507?

Answer: LCM of Numerators as per given numbers 8/84, 7/66, 6/90, 16/507 is

LCM of Numerators i.e. for 8,7,6,16 is 336

GCF of denominators i.e. for 84,66,90,507 is 3.

Thus, LCM of Fractions is 112.Finally, LCM of Fractions for 8/84, 7/66, 6/90, 16/507 is 112.