Least Common Multiple of 340, 408, 784

Q: How to Find the LCM of 340, 408, 784 ?

Least Common Multiple of 340, 408, 784 = 199920 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(340, 408, 784) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 17 = 199920.

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 340, 408, 784 i.e. 199920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 340, 408, 784 is 199920.

LCM(340, 408, 784) = 199920

LCM of 340, 408, 784

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

Least Common Multiple of 340, 408, 784 by common division method
Least Common Multiple of 340, 408, 784 with GCF Formula

Least Common Multiple of 340,408,784

Least Common Multiple (LCM) of 340,408,784 is 199920

2	340, 408, 784
2	170, 204, 392
2	85, 102, 196
17	85, 51, 98
	5, 3, 98

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 5 x 3 x 98 = 199920

Least Common Multiple of 340,408,784 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 340,408,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,408,784) = 4

common factors(in case of two or more numbers have common factors) = 136

GCF(340,408,784) x common factors =4 x 136 = 544

LCM(340,408,784) = ( 340 × 408 × 784 ) / 544

LCM(340,408,784) = 108756480 / 544

LCM(340,408,784) = 199920

∴ Least Common Multiple of 340,408,784 is 199920

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 340, 408, 784

1. What is the LCM of 340, 408, 784?

Answer: LCM of 340, 408, 784 is 199920.

2. What are the Factors of 199920?

Answer: Factors of 199920 are . There are integers that are factors of 199920

3. How to Find the LCM of 340, 408, 784 ?

Least Common Multiple of 340, 408, 784.

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(340, 408, 784) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 17 = 199920.