Least Common Multiple of 3/406, 69/149, 87/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/406, 69/149, 87/745 quickly i.e. 2001 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/406, 69/149, 87/745 is 2001.

LCM(3/406, 69/149, 87/745) = 2001

LCM of 3/406, 69/149, 87/745

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 3/406,69/149,87/745

Given numbers are 3/406,69/149,87/745

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 3,69,87

Least Common Multiple of Numerators i.e. LCM of 3,69,87 is 2001.

GCF of Denominators means GCF of 406,149,745 as per the given fractions.

GCF of 406,149,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,69,87

LCM of Fractions 3/406,69/149,87/745 is 2001

3 3, 69, 87
1, 23, 29

∴ So the LCM of the given numbers is 3 x 1 x 23 x 29 = 2001

Least Common Multiple of 3,69,87 with GCF Formula

Least Common Multiple of 3,69,87 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 3,69,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,69,87) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(3,69,87) x common factors =3 x 3 = 9

LCM(3,69,87) = ( 3 × 69 × 87 ) / 9

LCM(3,69,87) = 18009 / 9

LCM(3,69,87) = 2001


Lets's calculate GCF of 406,149,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2001/1

Therefore the LCM of Fractions 3/406,69/149,87/745 is 2001

Greatest Common Factor of 406,149,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,149,745 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 406,149,745 . The biggest common factor number is the GCF number.
So the greatest common factor 406,149,745 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 3/406, 69/149, 87/745

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 3/406, 69/149, 87/745?

Answer: LCM of Numerators as per given numbers 3/406, 69/149, 87/745 is

LCM of Numerators i.e. for 3,69,87 is 2001

GCF of denominators i.e. for 406,149,745 is 1.

Thus, LCM of Fractions is 2001.Finally, LCM of Fractions for 3/406, 69/149, 87/745 is 2001.