Least Common Multiple of 604/75, 464/19, 676/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 604/75, 464/19, 676/84 quickly i.e. 11840816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 604/75, 464/19, 676/84 is 11840816.

LCM(604/75, 464/19, 676/84) = 11840816

LCM of 604/75, 464/19, 676/84

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 604/75,464/19,676/84

Given numbers are 604/75,464/19,676/84

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 604,464,676

Least Common Multiple of Numerators i.e. LCM of 604,464,676 is 11840816.

GCF of Denominators means GCF of 75,19,84 as per the given fractions.

GCF of 75,19,84 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 604,464,676

LCM of Fractions 604/75,464/19,676/84 is 11840816

2 604, 464, 676
2 302, 232, 338
151, 116, 169

∴ So the LCM of the given numbers is 2 x 2 x 151 x 116 x 169 = 11840816

Least Common Multiple of 604,464,676 with GCF Formula

Least Common Multiple of 604,464,676 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 604,464,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,464,676) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(604,464,676) x common factors =4 x 4 = 16

LCM(604,464,676) = ( 604 × 464 × 676 ) / 16

LCM(604,464,676) = 189453056 / 16

LCM(604,464,676) = 11840816


Lets's calculate GCF of 75,19,84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11840816/1

Therefore the LCM of Fractions 604/75,464/19,676/84 is 11840816

Greatest Common Factor of 75,19,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,19,84 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 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 75,19,84 . The biggest common factor number is the GCF number.
So the greatest common factor 75,19,84 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 604/75, 464/19, 676/84

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 604/75, 464/19, 676/84?

Answer: LCM of Numerators as per given numbers 604/75, 464/19, 676/84 is

LCM of Numerators i.e. for 604,464,676 is 11840816

GCF of denominators i.e. for 75,19,84 is 1.

Thus, LCM of Fractions is 11840816.Finally, LCM of Fractions for 604/75, 464/19, 676/84 is 11840816.