Least Common Multiple of 38/968, 2014/3810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/968, 2014/3810 quickly i.e. 1007 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/968, 2014/3810 is 1007.

LCM(38/968, 2014/3810) = 1007

LCM of 38/968, 2014/3810

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 38/968,2014/3810

Given numbers are 38/968,2014/3810

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 38,2014

Least Common Multiple of Numerators i.e. LCM of 38,2014 is 2014.

GCF of Denominators means GCF of 968,3810 as per the given fractions.

GCF of 968,3810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,2014

LCM of Fractions 38/968,2014/3810 is 1007

2 38, 2014
19 19, 1007
1, 53

∴ So the LCM of the given numbers is 2 x 19 x 1 x 53 = 2014

Least Common Multiple of 38,2014 with GCF Formula

Least Common Multiple of 38,2014 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 38,2014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,2014) = 38

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

GCF(38,2014) x common factors =38 x 1 = 38

LCM(38,2014) = ( 38 × 2014 ) / 38

LCM(38,2014) = 76532 / 38

LCM(38,2014) = 2014


Lets's calculate GCF of 968,3810

2 968, 3810
484, 1905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2014/2

Therefore the LCM of Fractions 38/968,2014/3810 is 1007

Greatest Common Factor of 968,3810 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,3810 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 3810

List of positive integer factors of 3810 that divides 3810 without a remainder.

1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810

Greatest Common Factor

We found the factors 968,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 968,3810 is 2.


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 38/968, 2014/3810

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 38/968, 2014/3810?

Answer: LCM of Numerators as per given numbers 38/968, 2014/3810 is

LCM of Numerators i.e. for 38,2014 is 2014

GCF of denominators i.e. for 968,3810 is 2.

Thus, LCM of Fractions is 1007.Finally, LCM of Fractions for 38/968, 2014/3810 is 1007.