Least Common Multiple of 69, 14, 96, 288

Q: How to Find the LCM of 69, 14, 96, 288 ?

Least Common Multiple of 69, 14, 96, 288 = 46368 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(69, 14, 96, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 23 = 46368.

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 69, 14, 96, 288 i.e. 46368 smallest integer divisible by all numbers.

Least common multiple (LCM) of 69, 14, 96, 288 is 46368.

LCM(69, 14, 96, 288) = 46368

LCM of 69, 14, 96, 288

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

Least Common Multiple of 69, 14, 96, 288 by common division method
Least Common Multiple of 69, 14, 96, 288 with GCF Formula

Least Common Multiple of 69,14,96,288

Least Common Multiple (LCM) of 69,14,96,288 is 46368

2	69, 14, 96, 288
2	69, 7, 48, 144
2	69, 7, 24, 72
2	69, 7, 12, 36
2	69, 7, 6, 18
3	69, 7, 3, 9
	23, 7, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 23 x 7 x 1 x 3 = 46368

Least Common Multiple of 69,14,96,288 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 69,14,96,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,14,96,288) = 1

common factors(in case of two or more numbers have common factors) = 576

GCF(69,14,96,288) x common factors =1 x 576 = 576

LCM(69,14,96,288) = ( 69 × 14 × 96 × 288 ) / 576

LCM(69,14,96,288) = 26707968 / 576

LCM(69,14,96,288) = 46368

∴ Least Common Multiple of 69,14,96,288 is 46368

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 69, 14, 96, 288

1. What is the LCM of 69, 14, 96, 288?

Answer: LCM of 69, 14, 96, 288 is 46368.

2. What are the Factors of 46368?

Answer: Factors of 46368 are . There are integers that are factors of 46368

3. How to Find the LCM of 69, 14, 96, 288 ?

Least Common Multiple of 69, 14, 96, 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(69, 14, 96, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 23 = 46368.