Least Common Multiple of 420, 481, 308, 438, 146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 420, 481, 308, 438, 146 i.e. 162222060 smallest integer divisible by all numbers.

Least common multiple (LCM) of 420, 481, 308, 438, 146 is 162222060.

LCM(420, 481, 308, 438, 146) = 162222060

LCM of 420, 481, 308, 438, 146

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 420,481,308,438,146

Least Common Multiple (LCM) of 420,481,308,438,146 is 162222060

2 420, 481, 308, 438, 146
2 210, 481, 154, 219, 73
3 105, 481, 77, 219, 73
7 35, 481, 77, 73, 73
73 5, 481, 11, 73, 73
5, 481, 11, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 73 x 5 x 481 x 11 x 1 x 1 = 162222060

Least Common Multiple of 420,481,308,438,146 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 420,481,308,438,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,481,308,438,146) = 1

common factors(in case of two or more numbers have common factors) = 24528

GCF(420,481,308,438,146) x common factors =1 x 24528 = 24528

LCM(420,481,308,438,146) = ( 420 × 481 × 308 × 438 × 146 ) / 24528

LCM(420,481,308,438,146) = 3978982687680 / 24528

LCM(420,481,308,438,146) = 162222060

∴ Least Common Multiple of 420,481,308,438,146 is 162222060

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 420, 481, 308, 438, 146

1. What is the LCM of 420, 481, 308, 438, 146?

Answer: LCM of 420, 481, 308, 438, 146 is 162222060.

2. What are the Factors of 162222060?

Answer: Factors of 162222060 are . There are integers that are factors of 162222060

3. How to Find the LCM of 420, 481, 308, 438, 146 ?

Least Common Multiple of 420, 481, 308, 438, 146.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(420, 481, 308, 438, 146) = 2 x 2 x 3 x 5 x 7 x 11 x 13 x 37 x 73 = 162222060.