Least Common Multiple of 14/36, 24/220, 426/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/36, 24/220, 426/453 quickly i.e. 11928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/36, 24/220, 426/453 is 11928.

LCM(14/36, 24/220, 426/453) = 11928

LCM of 14/36, 24/220, 426/453

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 14/36,24/220,426/453

Given numbers are 14/36,24/220,426/453

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 14,24,426

Least Common Multiple of Numerators i.e. LCM of 14,24,426 is 11928.

GCF of Denominators means GCF of 36,220,453 as per the given fractions.

GCF of 36,220,453 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,24,426

LCM of Fractions 14/36,24/220,426/453 is 11928

2 14, 24, 426
3 7, 12, 213
7, 4, 71

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 71 = 11928

Least Common Multiple of 14,24,426 with GCF Formula

Least Common Multiple of 14,24,426 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 14,24,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,24,426) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(14,24,426) x common factors =2 x 6 = 12

LCM(14,24,426) = ( 14 × 24 × 426 ) / 12

LCM(14,24,426) = 143136 / 12

LCM(14,24,426) = 11928


Lets's calculate GCF of 36,220,453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11928/1

Therefore the LCM of Fractions 14/36,24/220,426/453 is 11928

Greatest Common Factor of 36,220,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,220,453 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 36,220,453 . The biggest common factor number is the GCF number.
So the greatest common factor 36,220,453 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 14/36, 24/220, 426/453

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 14/36, 24/220, 426/453?

Answer: LCM of Numerators as per given numbers 14/36, 24/220, 426/453 is

LCM of Numerators i.e. for 14,24,426 is 11928

GCF of denominators i.e. for 36,220,453 is 1.

Thus, LCM of Fractions is 11928.Finally, LCM of Fractions for 14/36, 24/220, 426/453 is 11928.