Least Common Multiple of 416/20, 252/2037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 416/20, 252/2037 quickly i.e. 26208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 416/20, 252/2037 is 26208.

LCM(416/20, 252/2037) = 26208

LCM of 416/20, 252/2037

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 416/20,252/2037

Given numbers are 416/20,252/2037

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 416,252

Least Common Multiple of Numerators i.e. LCM of 416,252 is 26208.

GCF of Denominators means GCF of 20,2037 as per the given fractions.

GCF of 20,2037 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 416,252

LCM of Fractions 416/20,252/2037 is 26208

2 416, 252
2 208, 126
104, 63

∴ So the LCM of the given numbers is 2 x 2 x 104 x 63 = 26208

Least Common Multiple of 416,252 with GCF Formula

Least Common Multiple of 416,252 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 416,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,252) = 4

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

GCF(416,252) x common factors =4 x 1 = 4

LCM(416,252) = ( 416 × 252 ) / 4

LCM(416,252) = 104832 / 4

LCM(416,252) = 26208


Lets's calculate GCF of 20,2037

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26208/1

Therefore the LCM of Fractions 416/20,252/2037 is 26208

Greatest Common Factor of 20,2037 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,2037 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 2037

List of positive integer factors of 2037 that divides 2037 without a remainder.

1,3,7,21,97,291,679,2037

Greatest Common Factor

We found the factors 20,2037 . The biggest common factor number is the GCF number.
So the greatest common factor 20,2037 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 416/20, 252/2037

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 416/20, 252/2037?

Answer: LCM of Numerators as per given numbers 416/20, 252/2037 is

LCM of Numerators i.e. for 416,252 is 26208

GCF of denominators i.e. for 20,2037 is 1.

Thus, LCM of Fractions is 26208.Finally, LCM of Fractions for 416/20, 252/2037 is 26208.