Least Common Multiple of 777/36, 114/11, 542/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 777/36, 114/11, 542/68 quickly i.e. 8001546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/36, 114/11, 542/68 is 8001546.

LCM(777/36, 114/11, 542/68) = 8001546

LCM of 777/36, 114/11, 542/68

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 777/36,114/11,542/68

Given numbers are 777/36,114/11,542/68

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 777,114,542

Least Common Multiple of Numerators i.e. LCM of 777,114,542 is 8001546.

GCF of Denominators means GCF of 36,11,68 as per the given fractions.

GCF of 36,11,68 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,114,542

LCM of Fractions 777/36,114/11,542/68 is 8001546

2 777, 114, 542
3 777, 57, 271
259, 19, 271

∴ So the LCM of the given numbers is 2 x 3 x 259 x 19 x 271 = 8001546

Least Common Multiple of 777,114,542 with GCF Formula

Least Common Multiple of 777,114,542 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 777,114,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,114,542) = 1

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

GCF(777,114,542) x common factors =1 x 6 = 6

LCM(777,114,542) = ( 777 × 114 × 542 ) / 6

LCM(777,114,542) = 48009276 / 6

LCM(777,114,542) = 8001546


Lets's calculate GCF of 36,11,68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8001546/1

Therefore the LCM of Fractions 777/36,114/11,542/68 is 8001546

Greatest Common Factor of 36,11,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,11,68 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 36,11,68 . The biggest common factor number is the GCF number.
So the greatest common factor 36,11,68 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 777/36, 114/11, 542/68

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 777/36, 114/11, 542/68?

Answer: LCM of Numerators as per given numbers 777/36, 114/11, 542/68 is

LCM of Numerators i.e. for 777,114,542 is 8001546

GCF of denominators i.e. for 36,11,68 is 1.

Thus, LCM of Fractions is 8001546.Finally, LCM of Fractions for 777/36, 114/11, 542/68 is 8001546.