Least Common Multiple of 740/46, 180/8888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 740/46, 180/8888 quickly i.e. 3330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 740/46, 180/8888 is 3330.

LCM(740/46, 180/8888) = 3330

LCM of 740/46, 180/8888

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 740/46,180/8888

Given numbers are 740/46,180/8888

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 740,180

Least Common Multiple of Numerators i.e. LCM of 740,180 is 6660.

GCF of Denominators means GCF of 46,8888 as per the given fractions.

GCF of 46,8888 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 740,180

LCM of Fractions 740/46,180/8888 is 3330

2 740, 180
2 370, 90
5 185, 45
37, 9

∴ So the LCM of the given numbers is 2 x 2 x 5 x 37 x 9 = 6660

Least Common Multiple of 740,180 with GCF Formula

Least Common Multiple of 740,180 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 740,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,180) = 20

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

GCF(740,180) x common factors =20 x 1 = 20

LCM(740,180) = ( 740 × 180 ) / 20

LCM(740,180) = 133200 / 20

LCM(740,180) = 6660


Lets's calculate GCF of 46,8888

2 46, 8888
23, 4444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6660/2

Therefore the LCM of Fractions 740/46,180/8888 is 3330

Greatest Common Factor of 46,8888 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,8888 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 8888

List of positive integer factors of 8888 that divides 8888 without a remainder.

1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888

Greatest Common Factor

We found the factors 46,8888 . The biggest common factor number is the GCF number.
So the greatest common factor 46,8888 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 740/46, 180/8888

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 740/46, 180/8888?

Answer: LCM of Numerators as per given numbers 740/46, 180/8888 is

LCM of Numerators i.e. for 740,180 is 6660

GCF of denominators i.e. for 46,8888 is 2.

Thus, LCM of Fractions is 3330.Finally, LCM of Fractions for 740/46, 180/8888 is 3330.