Least Common Multiple of 69/867, 77/785, 492/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/867, 77/785, 492/561 quickly i.e. 871332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/867, 77/785, 492/561 is 871332.

LCM(69/867, 77/785, 492/561) = 871332

LCM of 69/867, 77/785, 492/561

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 69/867,77/785,492/561

Given numbers are 69/867,77/785,492/561

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 69,77,492

Least Common Multiple of Numerators i.e. LCM of 69,77,492 is 871332.

GCF of Denominators means GCF of 867,785,561 as per the given fractions.

GCF of 867,785,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,77,492

LCM of Fractions 69/867,77/785,492/561 is 871332

3 69, 77, 492
23, 77, 164

∴ So the LCM of the given numbers is 3 x 23 x 77 x 164 = 871332

Least Common Multiple of 69,77,492 with GCF Formula

Least Common Multiple of 69,77,492 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 69,77,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,77,492) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,77,492) x common factors =1 x 3 = 3

LCM(69,77,492) = ( 69 × 77 × 492 ) / 3

LCM(69,77,492) = 2613996 / 3

LCM(69,77,492) = 871332


Lets's calculate GCF of 867,785,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 871332/1

Therefore the LCM of Fractions 69/867,77/785,492/561 is 871332

Greatest Common Factor of 867,785,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,785,561 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 867,785,561 . The biggest common factor number is the GCF number.
So the greatest common factor 867,785,561 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 69/867, 77/785, 492/561

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 69/867, 77/785, 492/561?

Answer: LCM of Numerators as per given numbers 69/867, 77/785, 492/561 is

LCM of Numerators i.e. for 69,77,492 is 871332

GCF of denominators i.e. for 867,785,561 is 1.

Thus, LCM of Fractions is 871332.Finally, LCM of Fractions for 69/867, 77/785, 492/561 is 871332.