Least Common Multiple of 69/885, 8538/7167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/885, 8538/7167 quickly i.e. 65458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/885, 8538/7167 is 65458.

LCM(69/885, 8538/7167) = 65458

LCM of 69/885, 8538/7167

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 69/885,8538/7167

Given numbers are 69/885,8538/7167

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 69,8538

Least Common Multiple of Numerators i.e. LCM of 69,8538 is 196374.

GCF of Denominators means GCF of 885,7167 as per the given fractions.

GCF of 885,7167 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,8538

LCM of Fractions 69/885,8538/7167 is 65458

3 69, 8538
23, 2846

∴ So the LCM of the given numbers is 3 x 23 x 2846 = 196374

Least Common Multiple of 69,8538 with GCF Formula

Least Common Multiple of 69,8538 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 69,8538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,8538) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(69,8538) x common factors =3 x 1 = 3

LCM(69,8538) = ( 69 × 8538 ) / 3

LCM(69,8538) = 589122 / 3

LCM(69,8538) = 196374


Lets's calculate GCF of 885,7167

3 885, 7167
295, 2389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196374/3

Therefore the LCM of Fractions 69/885,8538/7167 is 65458

Greatest Common Factor of 885,7167 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,7167 By Matching Biggest Common Factor Method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 7167

List of positive integer factors of 7167 that divides 7167 without a remainder.

1,3,2389,7167

Greatest Common Factor

We found the factors 885,7167 . The biggest common factor number is the GCF number.
So the greatest common factor 885,7167 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/885, 8538/7167

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 69/885, 8538/7167?

Answer: LCM of Numerators as per given numbers 69/885, 8538/7167 is

LCM of Numerators i.e. for 69,8538 is 196374

GCF of denominators i.e. for 885,7167 is 3.

Thus, LCM of Fractions is 65458.Finally, LCM of Fractions for 69/885, 8538/7167 is 65458.