Least Common Multiple of 212/74, 500/4252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/74, 500/4252 quickly i.e. 13250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/74, 500/4252 is 13250.

LCM(212/74, 500/4252) = 13250

LCM of 212/74, 500/4252

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 212/74,500/4252

Given numbers are 212/74,500/4252

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 212,500

Least Common Multiple of Numerators i.e. LCM of 212,500 is 26500.

GCF of Denominators means GCF of 74,4252 as per the given fractions.

GCF of 74,4252 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,500

LCM of Fractions 212/74,500/4252 is 13250

2 212, 500
2 106, 250
53, 125

∴ So the LCM of the given numbers is 2 x 2 x 53 x 125 = 26500

Least Common Multiple of 212,500 with GCF Formula

Least Common Multiple of 212,500 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 212,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,500) = 4

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

GCF(212,500) x common factors =4 x 1 = 4

LCM(212,500) = ( 212 × 500 ) / 4

LCM(212,500) = 106000 / 4

LCM(212,500) = 26500


Lets's calculate GCF of 74,4252

2 74, 4252
37, 2126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26500/2

Therefore the LCM of Fractions 212/74,500/4252 is 13250

Greatest Common Factor of 74,4252 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,4252 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 4252

List of positive integer factors of 4252 that divides 4252 without a remainder.

1,2,4,1063,2126,4252

Greatest Common Factor

We found the factors 74,4252 . The biggest common factor number is the GCF number.
So the greatest common factor 74,4252 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 212/74, 500/4252

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 212/74, 500/4252?

Answer: LCM of Numerators as per given numbers 212/74, 500/4252 is

LCM of Numerators i.e. for 212,500 is 26500

GCF of denominators i.e. for 74,4252 is 2.

Thus, LCM of Fractions is 13250.Finally, LCM of Fractions for 212/74, 500/4252 is 13250.