Least Common Multiple of 714, 414, 288

Q: How to Find the LCM of 714, 414, 288 ?

Least Common Multiple of 714, 414, 288 = 788256 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(714, 414, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 17 x 23 = 788256.

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 714, 414, 288 i.e. 788256 smallest integer divisible by all numbers.

Least common multiple (LCM) of 714, 414, 288 is 788256.

LCM(714, 414, 288) = 788256

LCM of 714, 414, 288

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

Least Common Multiple of 714, 414, 288 by common division method
Least Common Multiple of 714, 414, 288 with GCF Formula

Least Common Multiple of 714,414,288

Least Common Multiple (LCM) of 714,414,288 is 788256

2	714, 414, 288
3	357, 207, 144
3	119, 69, 48
	119, 23, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 119 x 23 x 16 = 788256

Least Common Multiple of 714,414,288 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 714,414,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,414,288) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(714,414,288) x common factors =6 x 18 = 108

LCM(714,414,288) = ( 714 × 414 × 288 ) / 108

LCM(714,414,288) = 85131648 / 108

LCM(714,414,288) = 788256

∴ Least Common Multiple of 714,414,288 is 788256

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 714, 414, 288

1. What is the LCM of 714, 414, 288?

Answer: LCM of 714, 414, 288 is 788256.

2. What are the Factors of 788256?

Answer: Factors of 788256 are . There are integers that are factors of 788256

3. How to Find the LCM of 714, 414, 288 ?

Least Common Multiple of 714, 414, 288.

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(714, 414, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 17 x 23 = 788256.