Least Common Multiple of 35, 17, 34, 390

Q: How to Find the LCM of 35, 17, 34, 390 ?

Least Common Multiple of 35, 17, 34, 390 = 46410 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(35, 17, 34, 390) = 2 x 3 x 5 x 7 x 13 x 17 = 46410.

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 35, 17, 34, 390 i.e. 46410 smallest integer divisible by all numbers.

Least common multiple (LCM) of 35, 17, 34, 390 is 46410.

LCM(35, 17, 34, 390) = 46410

LCM of 35, 17, 34, 390

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

Least Common Multiple of 35, 17, 34, 390 by common division method
Least Common Multiple of 35, 17, 34, 390 with GCF Formula

Least Common Multiple of 35,17,34,390

Least Common Multiple (LCM) of 35,17,34,390 is 46410

2	35, 17, 34, 390
5	35, 17, 17, 195
17	7, 17, 17, 39
	7, 1, 1, 39

∴ So the LCM of the given numbers is 2 x 5 x 17 x 7 x 1 x 1 x 39 = 46410

Least Common Multiple of 35,17,34,390 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 35,17,34,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,17,34,390) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(35,17,34,390) x common factors =1 x 170 = 170

LCM(35,17,34,390) = ( 35 × 17 × 34 × 390 ) / 170

LCM(35,17,34,390) = 7889700 / 170

LCM(35,17,34,390) = 46410

∴ Least Common Multiple of 35,17,34,390 is 46410

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 35, 17, 34, 390

1. What is the LCM of 35, 17, 34, 390?

Answer: LCM of 35, 17, 34, 390 is 46410.

2. What are the Factors of 46410?

Answer: Factors of 46410 are . There are integers that are factors of 46410

3. How to Find the LCM of 35, 17, 34, 390 ?

Least Common Multiple of 35, 17, 34, 390.

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(35, 17, 34, 390) = 2 x 3 x 5 x 7 x 13 x 17 = 46410.