Least Common Multiple of 34, 85, 39, 378

Q: How to Find the LCM of 34, 85, 39, 378 ?

Least Common Multiple of 34, 85, 39, 378 = 417690 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(34, 85, 39, 378) = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 17 = 417690.

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 34, 85, 39, 378 i.e. 417690 smallest integer divisible by all numbers.

Least common multiple (LCM) of 34, 85, 39, 378 is 417690.

LCM(34, 85, 39, 378) = 417690

LCM of 34, 85, 39, 378

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

Least Common Multiple of 34, 85, 39, 378 by common division method
Least Common Multiple of 34, 85, 39, 378 with GCF Formula

Least Common Multiple of 34,85,39,378

Least Common Multiple (LCM) of 34,85,39,378 is 417690

2	34, 85, 39, 378
3	17, 85, 39, 189
17	17, 85, 13, 63
	1, 5, 13, 63

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 5 x 13 x 63 = 417690

Least Common Multiple of 34,85,39,378 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 34,85,39,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,85,39,378) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(34,85,39,378) x common factors =1 x 102 = 102

LCM(34,85,39,378) = ( 34 × 85 × 39 × 378 ) / 102

LCM(34,85,39,378) = 42604380 / 102

LCM(34,85,39,378) = 417690

∴ Least Common Multiple of 34,85,39,378 is 417690

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 34, 85, 39, 378

1. What is the LCM of 34, 85, 39, 378?

Answer: LCM of 34, 85, 39, 378 is 417690.

2. What are the Factors of 417690?

Answer: Factors of 417690 are . There are integers that are factors of 417690

3. How to Find the LCM of 34, 85, 39, 378 ?

Least Common Multiple of 34, 85, 39, 378.

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(34, 85, 39, 378) = 2 x 3 x 3 x 3 x 5 x 7 x 13 x 17 = 417690.