Least Common Multiple of 777/547, 668/274, 576/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 777/547, 668/274, 576/671 quickly i.e. 24913728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/547, 668/274, 576/671 is 24913728.

LCM(777/547, 668/274, 576/671) = 24913728

LCM of 777/547, 668/274, 576/671

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 777/547,668/274,576/671

Given numbers are 777/547,668/274,576/671

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 777,668,576

Least Common Multiple of Numerators i.e. LCM of 777,668,576 is 24913728.

GCF of Denominators means GCF of 547,274,671 as per the given fractions.

GCF of 547,274,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,668,576

LCM of Fractions 777/547,668/274,576/671 is 24913728

2 777, 668, 576
2 777, 334, 288
3 777, 167, 144
259, 167, 48

∴ So the LCM of the given numbers is 2 x 2 x 3 x 259 x 167 x 48 = 24913728

Least Common Multiple of 777,668,576 with GCF Formula

Least Common Multiple of 777,668,576 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 777,668,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,668,576) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(777,668,576) x common factors =1 x 12 = 12

LCM(777,668,576) = ( 777 × 668 × 576 ) / 12

LCM(777,668,576) = 298964736 / 12

LCM(777,668,576) = 24913728


Lets's calculate GCF of 547,274,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24913728/1

Therefore the LCM of Fractions 777/547,668/274,576/671 is 24913728

Greatest Common Factor of 547,274,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,274,671 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 547,274,671 . The biggest common factor number is the GCF number.
So the greatest common factor 547,274,671 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 777/547, 668/274, 576/671

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 777/547, 668/274, 576/671?

Answer: LCM of Numerators as per given numbers 777/547, 668/274, 576/671 is

LCM of Numerators i.e. for 777,668,576 is 24913728

GCF of denominators i.e. for 547,274,671 is 1.

Thus, LCM of Fractions is 24913728.Finally, LCM of Fractions for 777/547, 668/274, 576/671 is 24913728.