Least Common Multiple of 649/20, 3874/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/20, 3874/815 quickly i.e. 2514226/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/20, 3874/815 is 2514226/5.

LCM(649/20, 3874/815) = 2514226/5

LCM of 649/20, 3874/815

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 649/20,3874/815

Given numbers are 649/20,3874/815

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 649,3874

Least Common Multiple of Numerators i.e. LCM of 649,3874 is 2514226.

GCF of Denominators means GCF of 20,815 as per the given fractions.

GCF of 20,815 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,3874

LCM of Fractions 649/20,3874/815 is 2514226/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 2514226

Least Common Multiple of 649,3874 with GCF Formula

Least Common Multiple of 649,3874 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 649,3874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,3874) = 1

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

GCF(649,3874) x common factors =1 x 1 = 1

LCM(649,3874) = ( 649 × 3874 ) / 1

LCM(649,3874) = 2514226 / 1

LCM(649,3874) = 2514226


Lets's calculate GCF of 20,815

5 20, 815
4, 163

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2514226/5

Therefore the LCM of Fractions 649/20,3874/815 is 2514226/5

Greatest Common Factor of 20,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,815 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 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 20,815 . The biggest common factor number is the GCF number.
So the greatest common factor 20,815 is 5.


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 649/20, 3874/815

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 649/20, 3874/815?

Answer: LCM of Numerators as per given numbers 649/20, 3874/815 is

LCM of Numerators i.e. for 649,3874 is 2514226

GCF of denominators i.e. for 20,815 is 5.

Thus, LCM of Fractions is 2514226/5.Finally, LCM of Fractions for 649/20, 3874/815 is 2514226/5.