Least Common Multiple of 420/43, 223/38, 664/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/43, 223/38, 664/254 quickly i.e. 15547560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/43, 223/38, 664/254 is 15547560.

LCM(420/43, 223/38, 664/254) = 15547560

LCM of 420/43, 223/38, 664/254

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 420/43,223/38,664/254

Given numbers are 420/43,223/38,664/254

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 420,223,664

Least Common Multiple of Numerators i.e. LCM of 420,223,664 is 15547560.

GCF of Denominators means GCF of 43,38,254 as per the given fractions.

GCF of 43,38,254 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,223,664

LCM of Fractions 420/43,223/38,664/254 is 15547560

2 420, 223, 664
2 210, 223, 332
105, 223, 166

∴ So the LCM of the given numbers is 2 x 2 x 105 x 223 x 166 = 15547560

Least Common Multiple of 420,223,664 with GCF Formula

Least Common Multiple of 420,223,664 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 420,223,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,223,664) = 1

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

GCF(420,223,664) x common factors =1 x 4 = 4

LCM(420,223,664) = ( 420 × 223 × 664 ) / 4

LCM(420,223,664) = 62190240 / 4

LCM(420,223,664) = 15547560


Lets's calculate GCF of 43,38,254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15547560/1

Therefore the LCM of Fractions 420/43,223/38,664/254 is 15547560

Greatest Common Factor of 43,38,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,38,254 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 254

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

1,2,127,254

Greatest Common Factor

We found the factors 43,38,254 . The biggest common factor number is the GCF number.
So the greatest common factor 43,38,254 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 420/43, 223/38, 664/254

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 420/43, 223/38, 664/254?

Answer: LCM of Numerators as per given numbers 420/43, 223/38, 664/254 is

LCM of Numerators i.e. for 420,223,664 is 15547560

GCF of denominators i.e. for 43,38,254 is 1.

Thus, LCM of Fractions is 15547560.Finally, LCM of Fractions for 420/43, 223/38, 664/254 is 15547560.