Least Common Multiple of 414/51, 452/32, 522/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/51, 452/32, 522/456 quickly i.e. 2713356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/51, 452/32, 522/456 is 2713356.

LCM(414/51, 452/32, 522/456) = 2713356

LCM of 414/51, 452/32, 522/456

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 414/51,452/32,522/456

Given numbers are 414/51,452/32,522/456

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 414,452,522

Least Common Multiple of Numerators i.e. LCM of 414,452,522 is 2713356.

GCF of Denominators means GCF of 51,32,456 as per the given fractions.

GCF of 51,32,456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,452,522

LCM of Fractions 414/51,452/32,522/456 is 2713356

2 414, 452, 522
3 207, 226, 261
3 69, 226, 87
23, 226, 29

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 226 x 29 = 2713356

Least Common Multiple of 414,452,522 with GCF Formula

Least Common Multiple of 414,452,522 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 414,452,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,452,522) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(414,452,522) x common factors =2 x 18 = 36

LCM(414,452,522) = ( 414 × 452 × 522 ) / 36

LCM(414,452,522) = 97680816 / 36

LCM(414,452,522) = 2713356


Lets's calculate GCF of 51,32,456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2713356/1

Therefore the LCM of Fractions 414/51,452/32,522/456 is 2713356

Greatest Common Factor of 51,32,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,32,456 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 51,32,456 . The biggest common factor number is the GCF number.
So the greatest common factor 51,32,456 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 414/51, 452/32, 522/456

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 414/51, 452/32, 522/456?

Answer: LCM of Numerators as per given numbers 414/51, 452/32, 522/456 is

LCM of Numerators i.e. for 414,452,522 is 2713356

GCF of denominators i.e. for 51,32,456 is 1.

Thus, LCM of Fractions is 2713356.Finally, LCM of Fractions for 414/51, 452/32, 522/456 is 2713356.