Least Common Multiple of 460, 414, 336

Q: How to Find the LCM of 460, 414, 336 ?

Least Common Multiple of 460, 414, 336 = 115920 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(460, 414, 336) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 = 115920.

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 460, 414, 336 i.e. 115920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 460, 414, 336 is 115920.

LCM(460, 414, 336) = 115920

LCM of 460, 414, 336

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

Least Common Multiple of 460, 414, 336 by common division method
Least Common Multiple of 460, 414, 336 with GCF Formula

Least Common Multiple of 460,414,336

Least Common Multiple (LCM) of 460,414,336 is 115920

2	460, 414, 336
2	230, 207, 168
3	115, 207, 84
23	115, 69, 28
	5, 3, 28

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 5 x 3 x 28 = 115920

Least Common Multiple of 460,414,336 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 460,414,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,414,336) = 2

common factors(in case of two or more numbers have common factors) = 276

GCF(460,414,336) x common factors =2 x 276 = 552

LCM(460,414,336) = ( 460 × 414 × 336 ) / 552

LCM(460,414,336) = 63987840 / 552

LCM(460,414,336) = 115920

∴ Least Common Multiple of 460,414,336 is 115920

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 460, 414, 336

1. What is the LCM of 460, 414, 336?

Answer: LCM of 460, 414, 336 is 115920.

2. What are the Factors of 115920?

Answer: Factors of 115920 are . There are integers that are factors of 115920

3. How to Find the LCM of 460, 414, 336 ?

Least Common Multiple of 460, 414, 336.

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(460, 414, 336) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 = 115920.