Least Common Multiple of 151/40, 229/54, 664/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 151/40, 229/54, 664/286 quickly i.e. 11480228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 151/40, 229/54, 664/286 is 11480228.

LCM(151/40, 229/54, 664/286) = 11480228

LCM of 151/40, 229/54, 664/286

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 151/40,229/54,664/286

Given numbers are 151/40,229/54,664/286

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 151,229,664

Least Common Multiple of Numerators i.e. LCM of 151,229,664 is 22960456.

GCF of Denominators means GCF of 40,54,286 as per the given fractions.

GCF of 40,54,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 151,229,664

LCM of Fractions 151/40,229/54,664/286 is 11480228

Given numbers has no common factors except 1. So, there LCM is their product i.e 22960456

Least Common Multiple of 151,229,664 with GCF Formula

Least Common Multiple of 151,229,664 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 151,229,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,229,664) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(151,229,664) x common factors =1 x 1 = 1

LCM(151,229,664) = ( 151 × 229 × 664 ) / 1

LCM(151,229,664) = 22960456 / 1

LCM(151,229,664) = 22960456


Lets's calculate GCF of 40,54,286

2 40, 54, 286
20, 27, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22960456/2

Therefore the LCM of Fractions 151/40,229/54,664/286 is 11480228

Greatest Common Factor of 40,54,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,54,286 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 40,54,286 . The biggest common factor number is the GCF number.
So the greatest common factor 40,54,286 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 151/40, 229/54, 664/286

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 151/40, 229/54, 664/286?

Answer: LCM of Numerators as per given numbers 151/40, 229/54, 664/286 is

LCM of Numerators i.e. for 151,229,664 is 22960456

GCF of denominators i.e. for 40,54,286 is 2.

Thus, LCM of Fractions is 11480228.Finally, LCM of Fractions for 151/40, 229/54, 664/286 is 11480228.