Least Common Multiple of 20/16, 237/51, 245/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/16, 237/51, 245/635 quickly i.e. 232260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/16, 237/51, 245/635 is 232260.

LCM(20/16, 237/51, 245/635) = 232260

LCM of 20/16, 237/51, 245/635

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 20/16,237/51,245/635

Given numbers are 20/16,237/51,245/635

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 20,237,245

Least Common Multiple of Numerators i.e. LCM of 20,237,245 is 232260.

GCF of Denominators means GCF of 16,51,635 as per the given fractions.

GCF of 16,51,635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,237,245

LCM of Fractions 20/16,237/51,245/635 is 232260

5 20, 237, 245
4, 237, 49

∴ So the LCM of the given numbers is 5 x 4 x 237 x 49 = 232260

Least Common Multiple of 20,237,245 with GCF Formula

Least Common Multiple of 20,237,245 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 20,237,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,237,245) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(20,237,245) x common factors =1 x 5 = 5

LCM(20,237,245) = ( 20 × 237 × 245 ) / 5

LCM(20,237,245) = 1161300 / 5

LCM(20,237,245) = 232260


Lets's calculate GCF of 16,51,635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232260/1

Therefore the LCM of Fractions 20/16,237/51,245/635 is 232260

Greatest Common Factor of 16,51,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,51,635 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 51

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

1,3,17,51

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 16,51,635 . The biggest common factor number is the GCF number.
So the greatest common factor 16,51,635 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/16, 237/51, 245/635

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 20/16, 237/51, 245/635?

Answer: LCM of Numerators as per given numbers 20/16, 237/51, 245/635 is

LCM of Numerators i.e. for 20,237,245 is 232260

GCF of denominators i.e. for 16,51,635 is 1.

Thus, LCM of Fractions is 232260.Finally, LCM of Fractions for 20/16, 237/51, 245/635 is 232260.