Least Common Multiple of 66/25, 99/42, 341/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/25, 99/42, 341/504 quickly i.e. 6138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/25, 99/42, 341/504 is 6138.

LCM(66/25, 99/42, 341/504) = 6138

LCM of 66/25, 99/42, 341/504

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 66/25,99/42,341/504

Given numbers are 66/25,99/42,341/504

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 66,99,341

Least Common Multiple of Numerators i.e. LCM of 66,99,341 is 6138.

GCF of Denominators means GCF of 25,42,504 as per the given fractions.

GCF of 25,42,504 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,99,341

LCM of Fractions 66/25,99/42,341/504 is 6138

3 66, 99, 341
11 22, 33, 341
2, 3, 31

∴ So the LCM of the given numbers is 3 x 11 x 2 x 3 x 31 = 6138

Least Common Multiple of 66,99,341 with GCF Formula

Least Common Multiple of 66,99,341 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 66,99,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,99,341) = 11

common factors(in case of two or more numbers have common factors) = 33

GCF(66,99,341) x common factors =11 x 33 = 363

LCM(66,99,341) = ( 66 × 99 × 341 ) / 363

LCM(66,99,341) = 2228094 / 363

LCM(66,99,341) = 6138


Lets's calculate GCF of 25,42,504

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6138/1

Therefore the LCM of Fractions 66/25,99/42,341/504 is 6138

Greatest Common Factor of 25,42,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,42,504 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 25,42,504 . The biggest common factor number is the GCF number.
So the greatest common factor 25,42,504 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 66/25, 99/42, 341/504

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 66/25, 99/42, 341/504?

Answer: LCM of Numerators as per given numbers 66/25, 99/42, 341/504 is

LCM of Numerators i.e. for 66,99,341 is 6138

GCF of denominators i.e. for 25,42,504 is 1.

Thus, LCM of Fractions is 6138.Finally, LCM of Fractions for 66/25, 99/42, 341/504 is 6138.