Least Common Multiple of 8/168, 64/804, 69/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/168, 64/804, 69/685 quickly i.e. 4416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/168, 64/804, 69/685 is 4416.

LCM(8/168, 64/804, 69/685) = 4416

LCM of 8/168, 64/804, 69/685

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 8/168,64/804,69/685

Given numbers are 8/168,64/804,69/685

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 8,64,69

Least Common Multiple of Numerators i.e. LCM of 8,64,69 is 4416.

GCF of Denominators means GCF of 168,804,685 as per the given fractions.

GCF of 168,804,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,64,69

LCM of Fractions 8/168,64/804,69/685 is 4416

2 8, 64, 69
2 4, 32, 69
2 2, 16, 69
1, 8, 69

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 8 x 69 = 4416

Least Common Multiple of 8,64,69 with GCF Formula

Least Common Multiple of 8,64,69 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 8,64,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,64,69) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(8,64,69) x common factors =1 x 8 = 8

LCM(8,64,69) = ( 8 × 64 × 69 ) / 8

LCM(8,64,69) = 35328 / 8

LCM(8,64,69) = 4416


Lets's calculate GCF of 168,804,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4416/1

Therefore the LCM of Fractions 8/168,64/804,69/685 is 4416

Greatest Common Factor of 168,804,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,804,685 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

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

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 168,804,685 . The biggest common factor number is the GCF number.
So the greatest common factor 168,804,685 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 8/168, 64/804, 69/685

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 8/168, 64/804, 69/685?

Answer: LCM of Numerators as per given numbers 8/168, 64/804, 69/685 is

LCM of Numerators i.e. for 8,64,69 is 4416

GCF of denominators i.e. for 168,804,685 is 1.

Thus, LCM of Fractions is 4416.Finally, LCM of Fractions for 8/168, 64/804, 69/685 is 4416.