Least Common Multiple of 23, 30, 308, 411

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 23, 30, 308, 411 i.e. 14557620 smallest integer divisible by all numbers.

Least common multiple (LCM) of 23, 30, 308, 411 is 14557620.

LCM(23, 30, 308, 411) = 14557620

LCM of 23, 30, 308, 411

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

LCM of:

Least Common Multiple of 23,30,308,411

Least Common Multiple (LCM) of 23,30,308,411 is 14557620

2 23, 30, 308, 411
3 23, 15, 154, 411
23, 5, 154, 137

∴ So the LCM of the given numbers is 2 x 3 x 23 x 5 x 154 x 137 = 14557620

Least Common Multiple of 23,30,308,411 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 23,30,308,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,30,308,411) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(23,30,308,411) x common factors =1 x 6 = 6

LCM(23,30,308,411) = ( 23 × 30 × 308 × 411 ) / 6

LCM(23,30,308,411) = 87345720 / 6

LCM(23,30,308,411) = 14557620

∴ Least Common Multiple of 23,30,308,411 is 14557620

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 23, 30, 308, 411

1. What is the LCM of 23, 30, 308, 411?

Answer: LCM of 23, 30, 308, 411 is 14557620.

2. What are the Factors of 14557620?

Answer: Factors of 14557620 are . There are integers that are factors of 14557620

3. How to Find the LCM of 23, 30, 308, 411 ?

Least Common Multiple of 23, 30, 308, 411.

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(23, 30, 308, 411) = 2 x 2 x 3 x 5 x 7 x 11 x 23 x 137 = 14557620.