Least Common Multiple of 147/24, 187/14, 461/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/24, 187/14, 461/777 quickly i.e. 12672429 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/24, 187/14, 461/777 is 12672429.

LCM(147/24, 187/14, 461/777) = 12672429

LCM of 147/24, 187/14, 461/777

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 147/24,187/14,461/777

Given numbers are 147/24,187/14,461/777

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 147,187,461

Least Common Multiple of Numerators i.e. LCM of 147,187,461 is 12672429.

GCF of Denominators means GCF of 24,14,777 as per the given fractions.

GCF of 24,14,777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,187,461

LCM of Fractions 147/24,187/14,461/777 is 12672429

Given numbers has no common factors except 1. So, there LCM is their product i.e 12672429

Least Common Multiple of 147,187,461 with GCF Formula

Least Common Multiple of 147,187,461 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 147,187,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,187,461) = 1

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

GCF(147,187,461) x common factors =1 x 1 = 1

LCM(147,187,461) = ( 147 × 187 × 461 ) / 1

LCM(147,187,461) = 12672429 / 1

LCM(147,187,461) = 12672429


Lets's calculate GCF of 24,14,777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12672429/1

Therefore the LCM of Fractions 147/24,187/14,461/777 is 12672429

Greatest Common Factor of 24,14,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,14,777 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 24,14,777 . The biggest common factor number is the GCF number.
So the greatest common factor 24,14,777 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 147/24, 187/14, 461/777

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 147/24, 187/14, 461/777?

Answer: LCM of Numerators as per given numbers 147/24, 187/14, 461/777 is

LCM of Numerators i.e. for 147,187,461 is 12672429

GCF of denominators i.e. for 24,14,777 is 1.

Thus, LCM of Fractions is 12672429.Finally, LCM of Fractions for 147/24, 187/14, 461/777 is 12672429.