Least Common Multiple of 148/186, 809/680, 744/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 148/186, 809/680, 744/143 quickly i.e. 22270152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 148/186, 809/680, 744/143 is 22270152.

LCM(148/186, 809/680, 744/143) = 22270152

LCM of 148/186, 809/680, 744/143

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 148/186,809/680,744/143

Given numbers are 148/186,809/680,744/143

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 148,809,744

Least Common Multiple of Numerators i.e. LCM of 148,809,744 is 22270152.

GCF of Denominators means GCF of 186,680,143 as per the given fractions.

GCF of 186,680,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 148,809,744

LCM of Fractions 148/186,809/680,744/143 is 22270152

2 148, 809, 744
2 74, 809, 372
37, 809, 186

∴ So the LCM of the given numbers is 2 x 2 x 37 x 809 x 186 = 22270152

Least Common Multiple of 148,809,744 with GCF Formula

Least Common Multiple of 148,809,744 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 148,809,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,809,744) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(148,809,744) x common factors =1 x 4 = 4

LCM(148,809,744) = ( 148 × 809 × 744 ) / 4

LCM(148,809,744) = 89080608 / 4

LCM(148,809,744) = 22270152


Lets's calculate GCF of 186,680,143

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22270152/1

Therefore the LCM of Fractions 148/186,809/680,744/143 is 22270152

Greatest Common Factor of 186,680,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,680,143 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 186,680,143 . The biggest common factor number is the GCF number.
So the greatest common factor 186,680,143 is 1.


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 148/186, 809/680, 744/143

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 148/186, 809/680, 744/143?

Answer: LCM of Numerators as per given numbers 148/186, 809/680, 744/143 is

LCM of Numerators i.e. for 148,809,744 is 22270152

GCF of denominators i.e. for 186,680,143 is 1.

Thus, LCM of Fractions is 22270152.Finally, LCM of Fractions for 148/186, 809/680, 744/143 is 22270152.