Least Common Multiple of 74, 65, 30, 315

Q: How to Find the LCM of 74, 65, 30, 315 ?

Least Common Multiple of 74, 65, 30, 315 = 303030 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(74, 65, 30, 315) = 2 x 3 x 3 x 5 x 7 x 13 x 37 = 303030.

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 74, 65, 30, 315 i.e. 303030 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 65, 30, 315 is 303030.

LCM(74, 65, 30, 315) = 303030

LCM of 74, 65, 30, 315

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

Least Common Multiple of 74, 65, 30, 315 by common division method
Least Common Multiple of 74, 65, 30, 315 with GCF Formula

Least Common Multiple of 74,65,30,315

Least Common Multiple (LCM) of 74,65,30,315 is 303030

2	74, 65, 30, 315
3	37, 65, 15, 315
5	37, 65, 5, 105
	37, 13, 1, 21

∴ So the LCM of the given numbers is 2 x 3 x 5 x 37 x 13 x 1 x 21 = 303030

Least Common Multiple of 74,65,30,315 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 74,65,30,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,65,30,315) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(74,65,30,315) x common factors =1 x 150 = 150

LCM(74,65,30,315) = ( 74 × 65 × 30 × 315 ) / 150

LCM(74,65,30,315) = 45454500 / 150

LCM(74,65,30,315) = 303030

∴ Least Common Multiple of 74,65,30,315 is 303030

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 74, 65, 30, 315

1. What is the LCM of 74, 65, 30, 315?

Answer: LCM of 74, 65, 30, 315 is 303030.

2. What are the Factors of 303030?

Answer: Factors of 303030 are . There are integers that are factors of 303030

3. How to Find the LCM of 74, 65, 30, 315 ?

Least Common Multiple of 74, 65, 30, 315.

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(74, 65, 30, 315) = 2 x 3 x 3 x 5 x 7 x 13 x 37 = 303030.