Least Common Multiple of 75/184, 258/498, 360/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/184, 258/498, 360/758 quickly i.e. 38700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/184, 258/498, 360/758 is 38700.

LCM(75/184, 258/498, 360/758) = 38700

LCM of 75/184, 258/498, 360/758

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 75/184,258/498,360/758

Given numbers are 75/184,258/498,360/758

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 75,258,360

Least Common Multiple of Numerators i.e. LCM of 75,258,360 is 77400.

GCF of Denominators means GCF of 184,498,758 as per the given fractions.

GCF of 184,498,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,258,360

LCM of Fractions 75/184,258/498,360/758 is 38700

2 75, 258, 360
3 75, 129, 180
5 25, 43, 60
5, 43, 12

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 43 x 12 = 77400

Least Common Multiple of 75,258,360 with GCF Formula

Least Common Multiple of 75,258,360 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 75,258,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,258,360) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(75,258,360) x common factors =3 x 30 = 90

LCM(75,258,360) = ( 75 × 258 × 360 ) / 90

LCM(75,258,360) = 6966000 / 90

LCM(75,258,360) = 77400


Lets's calculate GCF of 184,498,758

2 184, 498, 758
92, 249, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77400/2

Therefore the LCM of Fractions 75/184,258/498,360/758 is 38700

Greatest Common Factor of 184,498,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,498,758 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 184,498,758 . The biggest common factor number is the GCF number.
So the greatest common factor 184,498,758 is 2.


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 75/184, 258/498, 360/758

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 75/184, 258/498, 360/758?

Answer: LCM of Numerators as per given numbers 75/184, 258/498, 360/758 is

LCM of Numerators i.e. for 75,258,360 is 77400

GCF of denominators i.e. for 184,498,758 is 2.

Thus, LCM of Fractions is 38700.Finally, LCM of Fractions for 75/184, 258/498, 360/758 is 38700.