Least Common Multiple of 67, 30, 30, 290

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 67, 30, 30, 290 i.e. 58290 smallest integer divisible by all numbers.

Least common multiple (LCM) of 67, 30, 30, 290 is 58290.

LCM(67, 30, 30, 290) = 58290

LCM of 67, 30, 30, 290

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

LCM of:

Least Common Multiple of 67,30,30,290

Least Common Multiple (LCM) of 67,30,30,290 is 58290

2 67, 30, 30, 290
3 67, 15, 15, 145
5 67, 5, 5, 145
67, 1, 1, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 67 x 1 x 1 x 29 = 58290

Least Common Multiple of 67,30,30,290 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 67,30,30,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,30,30,290) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(67,30,30,290) x common factors =1 x 300 = 300

LCM(67,30,30,290) = ( 67 × 30 × 30 × 290 ) / 300

LCM(67,30,30,290) = 17487000 / 300

LCM(67,30,30,290) = 58290

∴ Least Common Multiple of 67,30,30,290 is 58290

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 67, 30, 30, 290

1. What is the LCM of 67, 30, 30, 290?

Answer: LCM of 67, 30, 30, 290 is 58290.

2. What are the Factors of 58290?

Answer: Factors of 58290 are . There are integers that are factors of 58290

3. How to Find the LCM of 67, 30, 30, 290 ?

Least Common Multiple of 67, 30, 30, 290.

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(67, 30, 30, 290) = 2 x 3 x 5 x 29 x 67 = 58290.