Least Common Multiple of 1013/620, 3963/1824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1013/620, 3963/1824 quickly i.e. 4014519/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1013/620, 3963/1824 is 4014519/4.

LCM(1013/620, 3963/1824) = 4014519/4

LCM of 1013/620, 3963/1824

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 1013/620,3963/1824

Given numbers are 1013/620,3963/1824

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 1013,3963

Least Common Multiple of Numerators i.e. LCM of 1013,3963 is 4014519.

GCF of Denominators means GCF of 620,1824 as per the given fractions.

GCF of 620,1824 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1013,3963

LCM of Fractions 1013/620,3963/1824 is 4014519/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 4014519

Least Common Multiple of 1013,3963 with GCF Formula

Least Common Multiple of 1013,3963 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 1013,3963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1013,3963) = 1

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

GCF(1013,3963) x common factors =1 x 1 = 1

LCM(1013,3963) = ( 1013 × 3963 ) / 1

LCM(1013,3963) = 4014519 / 1

LCM(1013,3963) = 4014519


Lets's calculate GCF of 620,1824

2 620, 1824
2 310, 912
155, 456

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4014519/4

Therefore the LCM of Fractions 1013/620,3963/1824 is 4014519/4

Greatest Common Factor of 620,1824 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,1824 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 1824

List of positive integer factors of 1824 that divides 1824 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824

Greatest Common Factor

We found the factors 620,1824 . The biggest common factor number is the GCF number.
So the greatest common factor 620,1824 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1013/620, 3963/1824

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 1013/620, 3963/1824?

Answer: LCM of Numerators as per given numbers 1013/620, 3963/1824 is

LCM of Numerators i.e. for 1013,3963 is 4014519

GCF of denominators i.e. for 620,1824 is 4.

Thus, LCM of Fractions is 4014519/4.Finally, LCM of Fractions for 1013/620, 3963/1824 is 4014519/4.