Least Common Multiple of 352/52, 643/63, 214/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/52, 643/63, 214/450 quickly i.e. 24217952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/52, 643/63, 214/450 is 24217952.

LCM(352/52, 643/63, 214/450) = 24217952

LCM of 352/52, 643/63, 214/450

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 352/52,643/63,214/450

Given numbers are 352/52,643/63,214/450

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 352,643,214

Least Common Multiple of Numerators i.e. LCM of 352,643,214 is 24217952.

GCF of Denominators means GCF of 52,63,450 as per the given fractions.

GCF of 52,63,450 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,643,214

LCM of Fractions 352/52,643/63,214/450 is 24217952

2 352, 643, 214
176, 643, 107

∴ So the LCM of the given numbers is 2 x 176 x 643 x 107 = 24217952

Least Common Multiple of 352,643,214 with GCF Formula

Least Common Multiple of 352,643,214 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 352,643,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,643,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(352,643,214) x common factors =1 x 2 = 2

LCM(352,643,214) = ( 352 × 643 × 214 ) / 2

LCM(352,643,214) = 48435904 / 2

LCM(352,643,214) = 24217952


Lets's calculate GCF of 52,63,450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24217952/1

Therefore the LCM of Fractions 352/52,643/63,214/450 is 24217952

Greatest Common Factor of 52,63,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,63,450 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 52,63,450 . The biggest common factor number is the GCF number.
So the greatest common factor 52,63,450 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 352/52, 643/63, 214/450

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 352/52, 643/63, 214/450?

Answer: LCM of Numerators as per given numbers 352/52, 643/63, 214/450 is

LCM of Numerators i.e. for 352,643,214 is 24217952

GCF of denominators i.e. for 52,63,450 is 1.

Thus, LCM of Fractions is 24217952.Finally, LCM of Fractions for 352/52, 643/63, 214/450 is 24217952.