Least Common Multiple of 408/90, 556/72, 595/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/90, 556/72, 595/690 quickly i.e. 330820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/90, 556/72, 595/690 is 330820.

LCM(408/90, 556/72, 595/690) = 330820

LCM of 408/90, 556/72, 595/690

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 408/90,556/72,595/690

Given numbers are 408/90,556/72,595/690

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 408,556,595

Least Common Multiple of Numerators i.e. LCM of 408,556,595 is 1984920.

GCF of Denominators means GCF of 90,72,690 as per the given fractions.

GCF of 90,72,690 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,556,595

LCM of Fractions 408/90,556/72,595/690 is 330820

2 408, 556, 595
2 204, 278, 595
17 102, 139, 595
6, 139, 35

∴ So the LCM of the given numbers is 2 x 2 x 17 x 6 x 139 x 35 = 1984920

Least Common Multiple of 408,556,595 with GCF Formula

Least Common Multiple of 408,556,595 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 408,556,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,556,595) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(408,556,595) x common factors =1 x 68 = 68

LCM(408,556,595) = ( 408 × 556 × 595 ) / 68

LCM(408,556,595) = 134974560 / 68

LCM(408,556,595) = 1984920


Lets's calculate GCF of 90,72,690

2 90, 72, 690
3 45, 36, 345
15, 12, 115

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1984920/6

Therefore the LCM of Fractions 408/90,556/72,595/690 is 330820

Greatest Common Factor of 90,72,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,72,690 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 90,72,690 . The biggest common factor number is the GCF number.
So the greatest common factor 90,72,690 is 6.


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 408/90, 556/72, 595/690

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 408/90, 556/72, 595/690?

Answer: LCM of Numerators as per given numbers 408/90, 556/72, 595/690 is

LCM of Numerators i.e. for 408,556,595 is 1984920

GCF of denominators i.e. for 90,72,690 is 6.

Thus, LCM of Fractions is 330820.Finally, LCM of Fractions for 408/90, 556/72, 595/690 is 330820.