Least Common Multiple of 68, 17, 30, 595

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 68, 17, 30, 595 i.e. 7140 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 17, 30, 595 is 7140.

LCM(68, 17, 30, 595) = 7140

LCM of 68, 17, 30, 595

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

LCM of:

Least Common Multiple of 68,17,30,595

Least Common Multiple (LCM) of 68,17,30,595 is 7140

2 68, 17, 30, 595
5 34, 17, 15, 595
17 34, 17, 3, 119
2, 1, 3, 7

∴ So the LCM of the given numbers is 2 x 5 x 17 x 2 x 1 x 3 x 7 = 7140

Least Common Multiple of 68,17,30,595 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 68,17,30,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,17,30,595) = 1

common factors(in case of two or more numbers have common factors) = 2890

GCF(68,17,30,595) x common factors =1 x 2890 = 2890

LCM(68,17,30,595) = ( 68 × 17 × 30 × 595 ) / 2890

LCM(68,17,30,595) = 20634600 / 2890

LCM(68,17,30,595) = 7140

∴ Least Common Multiple of 68,17,30,595 is 7140

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 68, 17, 30, 595

1. What is the LCM of 68, 17, 30, 595?

Answer: LCM of 68, 17, 30, 595 is 7140.

2. What are the Factors of 7140?

Answer: Factors of 7140 are . There are integers that are factors of 7140

3. How to Find the LCM of 68, 17, 30, 595 ?

Least Common Multiple of 68, 17, 30, 595.

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(68, 17, 30, 595) = 2 x 2 x 3 x 5 x 7 x 17 = 7140.