Least Common Multiple of 30/40, 20/254, 184/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/40, 20/254, 184/926 quickly i.e. 1380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/40, 20/254, 184/926 is 1380.

LCM(30/40, 20/254, 184/926) = 1380

LCM of 30/40, 20/254, 184/926

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 30/40,20/254,184/926

Given numbers are 30/40,20/254,184/926

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 30,20,184

Least Common Multiple of Numerators i.e. LCM of 30,20,184 is 2760.

GCF of Denominators means GCF of 40,254,926 as per the given fractions.

GCF of 40,254,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,20,184

LCM of Fractions 30/40,20/254,184/926 is 1380

2 30, 20, 184
2 15, 10, 92
5 15, 5, 46
3, 1, 46

∴ So the LCM of the given numbers is 2 x 2 x 5 x 3 x 1 x 46 = 2760

Least Common Multiple of 30,20,184 with GCF Formula

Least Common Multiple of 30,20,184 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 30,20,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,20,184) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(30,20,184) x common factors =2 x 20 = 40

LCM(30,20,184) = ( 30 × 20 × 184 ) / 40

LCM(30,20,184) = 110400 / 40

LCM(30,20,184) = 2760


Lets's calculate GCF of 40,254,926

2 40, 254, 926
20, 127, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2760/2

Therefore the LCM of Fractions 30/40,20/254,184/926 is 1380

Greatest Common Factor of 40,254,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,254,926 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 40,254,926 . The biggest common factor number is the GCF number.
So the greatest common factor 40,254,926 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 30/40, 20/254, 184/926

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 30/40, 20/254, 184/926?

Answer: LCM of Numerators as per given numbers 30/40, 20/254, 184/926 is

LCM of Numerators i.e. for 30,20,184 is 2760

GCF of denominators i.e. for 40,254,926 is 2.

Thus, LCM of Fractions is 1380.Finally, LCM of Fractions for 30/40, 20/254, 184/926 is 1380.