Least Common Multiple of 66/645, 90/114, 277/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/645, 90/114, 277/789 quickly i.e. 91410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/645, 90/114, 277/789 is 91410.

LCM(66/645, 90/114, 277/789) = 91410

LCM of 66/645, 90/114, 277/789

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 66/645,90/114,277/789

Given numbers are 66/645,90/114,277/789

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 66,90,277

Least Common Multiple of Numerators i.e. LCM of 66,90,277 is 274230.

GCF of Denominators means GCF of 645,114,789 as per the given fractions.

GCF of 645,114,789 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,90,277

LCM of Fractions 66/645,90/114,277/789 is 91410

2 66, 90, 277
3 33, 45, 277
11, 15, 277

∴ So the LCM of the given numbers is 2 x 3 x 11 x 15 x 277 = 274230

Least Common Multiple of 66,90,277 with GCF Formula

Least Common Multiple of 66,90,277 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 66,90,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,90,277) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,90,277) x common factors =1 x 6 = 6

LCM(66,90,277) = ( 66 × 90 × 277 ) / 6

LCM(66,90,277) = 1645380 / 6

LCM(66,90,277) = 274230


Lets's calculate GCF of 645,114,789

3 645, 114, 789
215, 38, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274230/3

Therefore the LCM of Fractions 66/645,90/114,277/789 is 91410

Greatest Common Factor of 645,114,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,114,789 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 645,114,789 . The biggest common factor number is the GCF number.
So the greatest common factor 645,114,789 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 66/645, 90/114, 277/789

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 66/645, 90/114, 277/789?

Answer: LCM of Numerators as per given numbers 66/645, 90/114, 277/789 is

LCM of Numerators i.e. for 66,90,277 is 274230

GCF of denominators i.e. for 645,114,789 is 3.

Thus, LCM of Fractions is 91410.Finally, LCM of Fractions for 66/645, 90/114, 277/789 is 91410.