Least Common Multiple of 69/968, 3222/2012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/968, 3222/2012 quickly i.e. 74106/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/968, 3222/2012 is 74106/4.

LCM(69/968, 3222/2012) = 74106/4

LCM of 69/968, 3222/2012

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 69/968,3222/2012

Given numbers are 69/968,3222/2012

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 69,3222

Least Common Multiple of Numerators i.e. LCM of 69,3222 is 74106.

GCF of Denominators means GCF of 968,2012 as per the given fractions.

GCF of 968,2012 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,3222

LCM of Fractions 69/968,3222/2012 is 74106/4

3 69, 3222
23, 1074

∴ So the LCM of the given numbers is 3 x 23 x 1074 = 74106

Least Common Multiple of 69,3222 with GCF Formula

Least Common Multiple of 69,3222 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 69,3222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,3222) = 3

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

GCF(69,3222) x common factors =3 x 1 = 3

LCM(69,3222) = ( 69 × 3222 ) / 3

LCM(69,3222) = 222318 / 3

LCM(69,3222) = 74106


Lets's calculate GCF of 968,2012

2 968, 2012
2 484, 1006
242, 503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74106/4

Therefore the LCM of Fractions 69/968,3222/2012 is 74106/4

Greatest Common Factor of 968,2012 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,2012 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 2012

List of positive integer factors of 2012 that divides 2012 without a remainder.

1,2,4,503,1006,2012

Greatest Common Factor

We found the factors 968,2012 . The biggest common factor number is the GCF number.
So the greatest common factor 968,2012 is 4.


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 69/968, 3222/2012

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 69/968, 3222/2012?

Answer: LCM of Numerators as per given numbers 69/968, 3222/2012 is

LCM of Numerators i.e. for 69,3222 is 74106

GCF of denominators i.e. for 968,2012 is 4.

Thus, LCM of Fractions is 74106/4.Finally, LCM of Fractions for 69/968, 3222/2012 is 74106/4.