Least Common Multiple of 3/20, 16/868, 49/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/20, 16/868, 49/515 quickly i.e. 2352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/20, 16/868, 49/515 is 2352.

LCM(3/20, 16/868, 49/515) = 2352

LCM of 3/20, 16/868, 49/515

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 3/20,16/868,49/515

Given numbers are 3/20,16/868,49/515

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 3,16,49

Least Common Multiple of Numerators i.e. LCM of 3,16,49 is 2352.

GCF of Denominators means GCF of 20,868,515 as per the given fractions.

GCF of 20,868,515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,16,49

LCM of Fractions 3/20,16/868,49/515 is 2352

Given numbers has no common factors except 1. So, there LCM is their product i.e 2352

Least Common Multiple of 3,16,49 with GCF Formula

Least Common Multiple of 3,16,49 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 3,16,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,16,49) = 1

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

GCF(3,16,49) x common factors =1 x 1 = 1

LCM(3,16,49) = ( 3 × 16 × 49 ) / 1

LCM(3,16,49) = 2352 / 1

LCM(3,16,49) = 2352


Lets's calculate GCF of 20,868,515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2352/1

Therefore the LCM of Fractions 3/20,16/868,49/515 is 2352

Greatest Common Factor of 20,868,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,868,515 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 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 20,868,515 . The biggest common factor number is the GCF number.
So the greatest common factor 20,868,515 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 3/20, 16/868, 49/515

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 3/20, 16/868, 49/515?

Answer: LCM of Numerators as per given numbers 3/20, 16/868, 49/515 is

LCM of Numerators i.e. for 3,16,49 is 2352

GCF of denominators i.e. for 20,868,515 is 1.

Thus, LCM of Fractions is 2352.Finally, LCM of Fractions for 3/20, 16/868, 49/515 is 2352.