Least Common Multiple of 3818/15, 7262/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3818/15, 7262/660 quickly i.e. 13863158/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3818/15, 7262/660 is 13863158/15.

LCM(3818/15, 7262/660) = 13863158/15

LCM of 3818/15, 7262/660

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 3818/15,7262/660

Given numbers are 3818/15,7262/660

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 3818,7262

Least Common Multiple of Numerators i.e. LCM of 3818,7262 is 13863158.

GCF of Denominators means GCF of 15,660 as per the given fractions.

GCF of 15,660 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3818,7262

LCM of Fractions 3818/15,7262/660 is 13863158/15

2 3818, 7262
1909, 3631

∴ So the LCM of the given numbers is 2 x 1909 x 3631 = 13863158

Least Common Multiple of 3818,7262 with GCF Formula

Least Common Multiple of 3818,7262 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 3818,7262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3818,7262) = 2

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

GCF(3818,7262) x common factors =2 x 1 = 2

LCM(3818,7262) = ( 3818 × 7262 ) / 2

LCM(3818,7262) = 27726316 / 2

LCM(3818,7262) = 13863158


Lets's calculate GCF of 15,660

3 15, 660
5 5, 220
1, 44

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13863158/15

Therefore the LCM of Fractions 3818/15,7262/660 is 13863158/15

Greatest Common Factor of 15,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,660 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 15,660 . The biggest common factor number is the GCF number.
So the greatest common factor 15,660 is 15.


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 3818/15, 7262/660

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 3818/15, 7262/660?

Answer: LCM of Numerators as per given numbers 3818/15, 7262/660 is

LCM of Numerators i.e. for 3818,7262 is 13863158

GCF of denominators i.e. for 15,660 is 15.

Thus, LCM of Fractions is 13863158/15.Finally, LCM of Fractions for 3818/15, 7262/660 is 13863158/15.