Least Common Multiple of 4254/22, 2574/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4254/22, 2574/472 quickly i.e. 912483 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4254/22, 2574/472 is 912483.

LCM(4254/22, 2574/472) = 912483

LCM of 4254/22, 2574/472

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 4254/22,2574/472

Given numbers are 4254/22,2574/472

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 4254,2574

Least Common Multiple of Numerators i.e. LCM of 4254,2574 is 1824966.

GCF of Denominators means GCF of 22,472 as per the given fractions.

GCF of 22,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4254,2574

LCM of Fractions 4254/22,2574/472 is 912483

2 4254, 2574
3 2127, 1287
709, 429

∴ So the LCM of the given numbers is 2 x 3 x 709 x 429 = 1824966

Least Common Multiple of 4254,2574 with GCF Formula

Least Common Multiple of 4254,2574 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 4254,2574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4254,2574) = 6

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

GCF(4254,2574) x common factors =6 x 1 = 6

LCM(4254,2574) = ( 4254 × 2574 ) / 6

LCM(4254,2574) = 10949796 / 6

LCM(4254,2574) = 1824966


Lets's calculate GCF of 22,472

2 22, 472
11, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1824966/2

Therefore the LCM of Fractions 4254/22,2574/472 is 912483

Greatest Common Factor of 22,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,472 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 22,472 . The biggest common factor number is the GCF number.
So the greatest common factor 22,472 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 4254/22, 2574/472

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 4254/22, 2574/472?

Answer: LCM of Numerators as per given numbers 4254/22, 2574/472 is

LCM of Numerators i.e. for 4254,2574 is 1824966

GCF of denominators i.e. for 22,472 is 2.

Thus, LCM of Fractions is 912483.Finally, LCM of Fractions for 4254/22, 2574/472 is 912483.