Least Common Multiple of 1320/440, 1206/3572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1320/440, 1206/3572 quickly i.e. 66330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1320/440, 1206/3572 is 66330.

LCM(1320/440, 1206/3572) = 66330

LCM of 1320/440, 1206/3572

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 1320/440,1206/3572

Given numbers are 1320/440,1206/3572

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 1320,1206

Least Common Multiple of Numerators i.e. LCM of 1320,1206 is 265320.

GCF of Denominators means GCF of 440,3572 as per the given fractions.

GCF of 440,3572 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1320,1206

LCM of Fractions 1320/440,1206/3572 is 66330

2 1320, 1206
3 660, 603
220, 201

∴ So the LCM of the given numbers is 2 x 3 x 220 x 201 = 265320

Least Common Multiple of 1320,1206 with GCF Formula

Least Common Multiple of 1320,1206 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 1320,1206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1320,1206) = 6

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

GCF(1320,1206) x common factors =6 x 1 = 6

LCM(1320,1206) = ( 1320 × 1206 ) / 6

LCM(1320,1206) = 1591920 / 6

LCM(1320,1206) = 265320


Lets's calculate GCF of 440,3572

2 440, 3572
2 220, 1786
110, 893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265320/4

Therefore the LCM of Fractions 1320/440,1206/3572 is 66330

Greatest Common Factor of 440,3572 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,3572 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 3572

List of positive integer factors of 3572 that divides 3572 without a remainder.

1,2,4,19,38,47,76,94,188,893,1786,3572

Greatest Common Factor

We found the factors 440,3572 . The biggest common factor number is the GCF number.
So the greatest common factor 440,3572 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 1320/440, 1206/3572

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 1320/440, 1206/3572?

Answer: LCM of Numerators as per given numbers 1320/440, 1206/3572 is

LCM of Numerators i.e. for 1320,1206 is 265320

GCF of denominators i.e. for 440,3572 is 4.

Thus, LCM of Fractions is 66330.Finally, LCM of Fractions for 1320/440, 1206/3572 is 66330.