Least Common Multiple of 969, 216, 612

Q: How to Find the LCM of 969, 216, 612 ?

Least Common Multiple of 969, 216, 612 = 69768 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(969, 216, 612) = 2 x 2 x 2 x 3 x 3 x 3 x 17 x 19 = 69768.

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 969, 216, 612 i.e. 69768 smallest integer divisible by all numbers.

Least common multiple (LCM) of 969, 216, 612 is 69768.

LCM(969, 216, 612) = 69768

LCM of 969, 216, 612

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

Least Common Multiple of 969, 216, 612 by common division method
Least Common Multiple of 969, 216, 612 with GCF Formula

Least Common Multiple of 969,216,612

Least Common Multiple (LCM) of 969,216,612 is 69768

2	969, 216, 612
2	969, 108, 306
3	969, 54, 153
3	323, 18, 51
17	323, 6, 17
	19, 6, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 19 x 6 x 1 = 69768

Least Common Multiple of 969,216,612 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 969,216,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,216,612) = 3

common factors(in case of two or more numbers have common factors) = 612

GCF(969,216,612) x common factors =3 x 612 = 1836

LCM(969,216,612) = ( 969 × 216 × 612 ) / 1836

LCM(969,216,612) = 128094048 / 1836

LCM(969,216,612) = 69768

∴ Least Common Multiple of 969,216,612 is 69768

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 969, 216, 612

1. What is the LCM of 969, 216, 612?

Answer: LCM of 969, 216, 612 is 69768.

2. What are the Factors of 69768?

Answer: Factors of 69768 are . There are integers that are factors of 69768

3. How to Find the LCM of 969, 216, 612 ?

Least Common Multiple of 969, 216, 612.

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(969, 216, 612) = 2 x 2 x 2 x 3 x 3 x 3 x 17 x 19 = 69768.