Least Common Multiple of 306, 990, 997, 323, 715

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 306, 990, 997, 323, 715 i.e. 4144538970 smallest integer divisible by all numbers.

Least common multiple (LCM) of 306, 990, 997, 323, 715 is 4144538970.

LCM(306, 990, 997, 323, 715) = 4144538970

LCM of 306, 990, 997, 323, 715

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

LCM of:

Least Common Multiple of 306,990,997,323,715

Least Common Multiple (LCM) of 306,990,997,323,715 is 4144538970

2 306, 990, 997, 323, 715
3 153, 495, 997, 323, 715
3 51, 165, 997, 323, 715
5 17, 55, 997, 323, 715
11 17, 11, 997, 323, 143
17 17, 1, 997, 323, 13
1, 1, 997, 19, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 11 x 17 x 1 x 1 x 997 x 19 x 13 = 4144538970

Least Common Multiple of 306,990,997,323,715 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 306,990,997,323,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,990,997,323,715) = 1

common factors(in case of two or more numbers have common factors) = 16830

GCF(306,990,997,323,715) x common factors =1 x 16830 = 16830

LCM(306,990,997,323,715) = ( 306 × 990 × 997 × 323 × 715 ) / 16830

LCM(306,990,997,323,715) = 69752590865100 / 16830

LCM(306,990,997,323,715) = 4144538970

∴ Least Common Multiple of 306,990,997,323,715 is 4144538970

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 306, 990, 997, 323, 715

1. What is the LCM of 306, 990, 997, 323, 715?

Answer: LCM of 306, 990, 997, 323, 715 is 4144538970.

2. What are the Factors of 4144538970?

Answer: Factors of 4144538970 are . There are integers that are factors of 4144538970

3. How to Find the LCM of 306, 990, 997, 323, 715 ?

Least Common Multiple of 306, 990, 997, 323, 715.

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(306, 990, 997, 323, 715) = 2 x 3 x 3 x 5 x 11 x 13 x 17 x 19 x 997 = 4144538970.