Least Common Multiple of 87/604, 405/180, 193/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/604, 405/180, 193/624 quickly i.e. 2266785/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/604, 405/180, 193/624 is 2266785/4.

LCM(87/604, 405/180, 193/624) = 2266785/4

LCM of 87/604, 405/180, 193/624

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 87/604,405/180,193/624

Given numbers are 87/604,405/180,193/624

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 87,405,193

Least Common Multiple of Numerators i.e. LCM of 87,405,193 is 2266785.

GCF of Denominators means GCF of 604,180,624 as per the given fractions.

GCF of 604,180,624 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,405,193

LCM of Fractions 87/604,405/180,193/624 is 2266785/4

3 87, 405, 193
29, 135, 193

∴ So the LCM of the given numbers is 3 x 29 x 135 x 193 = 2266785

Least Common Multiple of 87,405,193 with GCF Formula

Least Common Multiple of 87,405,193 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 87,405,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,405,193) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,405,193) x common factors =1 x 3 = 3

LCM(87,405,193) = ( 87 × 405 × 193 ) / 3

LCM(87,405,193) = 6800355 / 3

LCM(87,405,193) = 2266785


Lets's calculate GCF of 604,180,624

2 604, 180, 624
2 302, 90, 312
151, 45, 156

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2266785/4

Therefore the LCM of Fractions 87/604,405/180,193/624 is 2266785/4

Greatest Common Factor of 604,180,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 604,180,624 By Matching Biggest Common Factor Method

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 604,180,624 . The biggest common factor number is the GCF number.
So the greatest common factor 604,180,624 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/604, 405/180, 193/624

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 87/604, 405/180, 193/624?

Answer: LCM of Numerators as per given numbers 87/604, 405/180, 193/624 is

LCM of Numerators i.e. for 87,405,193 is 2266785

GCF of denominators i.e. for 604,180,624 is 4.

Thus, LCM of Fractions is 2266785/4.Finally, LCM of Fractions for 87/604, 405/180, 193/624 is 2266785/4.