Least Common Multiple of 39, 59, 78, 345

Q: How to Find the LCM of 39, 59, 78, 345 ?

Least Common Multiple of 39, 59, 78, 345 = 529230 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(39, 59, 78, 345) = 2 x 3 x 5 x 13 x 23 x 59 = 529230.

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 39, 59, 78, 345 i.e. 529230 smallest integer divisible by all numbers.

Least common multiple (LCM) of 39, 59, 78, 345 is 529230.

LCM(39, 59, 78, 345) = 529230

LCM of 39, 59, 78, 345

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

Least Common Multiple of 39, 59, 78, 345 by common division method
Least Common Multiple of 39, 59, 78, 345 with GCF Formula

Least Common Multiple of 39,59,78,345

Least Common Multiple (LCM) of 39,59,78,345 is 529230

3	39, 59, 78, 345
13	13, 59, 26, 115
	1, 59, 2, 115

∴ So the LCM of the given numbers is 3 x 13 x 1 x 59 x 2 x 115 = 529230

Least Common Multiple of 39,59,78,345 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 39,59,78,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,59,78,345) = 1

common factors(in case of two or more numbers have common factors) = 117

GCF(39,59,78,345) x common factors =1 x 117 = 117

LCM(39,59,78,345) = ( 39 × 59 × 78 × 345 ) / 117

LCM(39,59,78,345) = 61919910 / 117

LCM(39,59,78,345) = 529230

∴ Least Common Multiple of 39,59,78,345 is 529230

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 39, 59, 78, 345

1. What is the LCM of 39, 59, 78, 345?

Answer: LCM of 39, 59, 78, 345 is 529230.

2. What are the Factors of 529230?

Answer: Factors of 529230 are . There are integers that are factors of 529230

3. How to Find the LCM of 39, 59, 78, 345 ?

Least Common Multiple of 39, 59, 78, 345.

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(39, 59, 78, 345) = 2 x 3 x 5 x 13 x 23 x 59 = 529230.