Least Common Multiple of 744/667, 776/567, 663/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/667, 776/567, 663/475 quickly i.e. 15949128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/667, 776/567, 663/475 is 15949128.

LCM(744/667, 776/567, 663/475) = 15949128

LCM of 744/667, 776/567, 663/475

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 744/667,776/567,663/475

Given numbers are 744/667,776/567,663/475

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 744,776,663

Least Common Multiple of Numerators i.e. LCM of 744,776,663 is 15949128.

GCF of Denominators means GCF of 667,567,475 as per the given fractions.

GCF of 667,567,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,776,663

LCM of Fractions 744/667,776/567,663/475 is 15949128

2 744, 776, 663
2 372, 388, 663
2 186, 194, 663
3 93, 97, 663
31, 97, 221

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 31 x 97 x 221 = 15949128

Least Common Multiple of 744,776,663 with GCF Formula

Least Common Multiple of 744,776,663 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 744,776,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,776,663) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(744,776,663) x common factors =1 x 24 = 24

LCM(744,776,663) = ( 744 × 776 × 663 ) / 24

LCM(744,776,663) = 382779072 / 24

LCM(744,776,663) = 15949128


Lets's calculate GCF of 667,567,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15949128/1

Therefore the LCM of Fractions 744/667,776/567,663/475 is 15949128

Greatest Common Factor of 667,567,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,567,475 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 667,567,475 . The biggest common factor number is the GCF number.
So the greatest common factor 667,567,475 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 744/667, 776/567, 663/475

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 744/667, 776/567, 663/475?

Answer: LCM of Numerators as per given numbers 744/667, 776/567, 663/475 is

LCM of Numerators i.e. for 744,776,663 is 15949128

GCF of denominators i.e. for 667,567,475 is 1.

Thus, LCM of Fractions is 15949128.Finally, LCM of Fractions for 744/667, 776/567, 663/475 is 15949128.