Least Common Multiple of 777/75, 199/21, 485/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 777/75, 199/21, 485/111 quickly i.e. 24997385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/75, 199/21, 485/111 is 24997385.

LCM(777/75, 199/21, 485/111) = 24997385

LCM of 777/75, 199/21, 485/111

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 777/75,199/21,485/111

Given numbers are 777/75,199/21,485/111

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 777,199,485

Least Common Multiple of Numerators i.e. LCM of 777,199,485 is 74992155.

GCF of Denominators means GCF of 75,21,111 as per the given fractions.

GCF of 75,21,111 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,199,485

LCM of Fractions 777/75,199/21,485/111 is 24997385

Given numbers has no common factors except 1. So, there LCM is their product i.e 74992155

Least Common Multiple of 777,199,485 with GCF Formula

Least Common Multiple of 777,199,485 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 777,199,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,199,485) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(777,199,485) x common factors =1 x 1 = 1

LCM(777,199,485) = ( 777 × 199 × 485 ) / 1

LCM(777,199,485) = 74992155 / 1

LCM(777,199,485) = 74992155


Lets's calculate GCF of 75,21,111

3 75, 21, 111
25, 7, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74992155/3

Therefore the LCM of Fractions 777/75,199/21,485/111 is 24997385

Greatest Common Factor of 75,21,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,21,111 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 75,21,111 . The biggest common factor number is the GCF number.
So the greatest common factor 75,21,111 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 777/75, 199/21, 485/111

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 777/75, 199/21, 485/111?

Answer: LCM of Numerators as per given numbers 777/75, 199/21, 485/111 is

LCM of Numerators i.e. for 777,199,485 is 74992155

GCF of denominators i.e. for 75,21,111 is 3.

Thus, LCM of Fractions is 24997385.Finally, LCM of Fractions for 777/75, 199/21, 485/111 is 24997385.