Least Common Multiple of 77/969, 951/81, 465/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/969, 951/81, 465/891 quickly i.e. 3783395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/969, 951/81, 465/891 is 3783395.

LCM(77/969, 951/81, 465/891) = 3783395

LCM of 77/969, 951/81, 465/891

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 77/969,951/81,465/891

Given numbers are 77/969,951/81,465/891

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 77,951,465

Least Common Multiple of Numerators i.e. LCM of 77,951,465 is 11350185.

GCF of Denominators means GCF of 969,81,891 as per the given fractions.

GCF of 969,81,891 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,951,465

LCM of Fractions 77/969,951/81,465/891 is 3783395

3 77, 951, 465
77, 317, 155

∴ So the LCM of the given numbers is 3 x 77 x 317 x 155 = 11350185

Least Common Multiple of 77,951,465 with GCF Formula

Least Common Multiple of 77,951,465 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 77,951,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,951,465) = 1

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

GCF(77,951,465) x common factors =1 x 3 = 3

LCM(77,951,465) = ( 77 × 951 × 465 ) / 3

LCM(77,951,465) = 34050555 / 3

LCM(77,951,465) = 11350185


Lets's calculate GCF of 969,81,891

3 969, 81, 891
323, 27, 297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11350185/3

Therefore the LCM of Fractions 77/969,951/81,465/891 is 3783395

Greatest Common Factor of 969,81,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,81,891 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 969,81,891 . The biggest common factor number is the GCF number.
So the greatest common factor 969,81,891 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 77/969, 951/81, 465/891

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 77/969, 951/81, 465/891?

Answer: LCM of Numerators as per given numbers 77/969, 951/81, 465/891 is

LCM of Numerators i.e. for 77,951,465 is 11350185

GCF of denominators i.e. for 969,81,891 is 3.

Thus, LCM of Fractions is 3783395.Finally, LCM of Fractions for 77/969, 951/81, 465/891 is 3783395.