Least Common Multiple of 66/672, 37/641, 777/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/672, 37/641, 777/564 quickly i.e. 17094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/672, 37/641, 777/564 is 17094.

LCM(66/672, 37/641, 777/564) = 17094

LCM of 66/672, 37/641, 777/564

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 66/672,37/641,777/564

Given numbers are 66/672,37/641,777/564

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 66,37,777

Least Common Multiple of Numerators i.e. LCM of 66,37,777 is 17094.

GCF of Denominators means GCF of 672,641,564 as per the given fractions.

GCF of 672,641,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,37,777

LCM of Fractions 66/672,37/641,777/564 is 17094

3 66, 37, 777
37 22, 37, 259
22, 1, 7

∴ So the LCM of the given numbers is 3 x 37 x 22 x 1 x 7 = 17094

Least Common Multiple of 66,37,777 with GCF Formula

Least Common Multiple of 66,37,777 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 66,37,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,37,777) = 1

common factors(in case of two or more numbers have common factors) = 111

GCF(66,37,777) x common factors =1 x 111 = 111

LCM(66,37,777) = ( 66 × 37 × 777 ) / 111

LCM(66,37,777) = 1897434 / 111

LCM(66,37,777) = 17094


Lets's calculate GCF of 672,641,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17094/1

Therefore the LCM of Fractions 66/672,37/641,777/564 is 17094

Greatest Common Factor of 672,641,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,641,564 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 672,641,564 . The biggest common factor number is the GCF number.
So the greatest common factor 672,641,564 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 66/672, 37/641, 777/564

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 66/672, 37/641, 777/564?

Answer: LCM of Numerators as per given numbers 66/672, 37/641, 777/564 is

LCM of Numerators i.e. for 66,37,777 is 17094

GCF of denominators i.e. for 672,641,564 is 1.

Thus, LCM of Fractions is 17094.Finally, LCM of Fractions for 66/672, 37/641, 777/564 is 17094.