Least Common Multiple of 456, 816, 969

Q: How to Find the LCM of 456, 816, 969 ?

Least Common Multiple of 456, 816, 969 = 15504 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(456, 816, 969) = 2 x 2 x 2 x 2 x 3 x 17 x 19 = 15504.

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 456, 816, 969 i.e. 15504 smallest integer divisible by all numbers.

Least common multiple (LCM) of 456, 816, 969 is 15504.

LCM(456, 816, 969) = 15504

LCM of 456, 816, 969

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

Least Common Multiple of 456, 816, 969 by common division method
Least Common Multiple of 456, 816, 969 with GCF Formula

Least Common Multiple of 456,816,969

Least Common Multiple (LCM) of 456,816,969 is 15504

2	456, 816, 969
2	228, 408, 969
2	114, 204, 969
3	57, 102, 969
17	19, 34, 323
19	19, 2, 19
	1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 19 x 1 x 2 x 1 = 15504

Least Common Multiple of 456,816,969 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 456,816,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,816,969) = 3

common factors(in case of two or more numbers have common factors) = 7752

GCF(456,816,969) x common factors =3 x 7752 = 23256

LCM(456,816,969) = ( 456 × 816 × 969 ) / 23256

LCM(456,816,969) = 360561024 / 23256

LCM(456,816,969) = 15504

∴ Least Common Multiple of 456,816,969 is 15504

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 456, 816, 969

1. What is the LCM of 456, 816, 969?

Answer: LCM of 456, 816, 969 is 15504.

2. What are the Factors of 15504?

Answer: Factors of 15504 are . There are integers that are factors of 15504

3. How to Find the LCM of 456, 816, 969 ?

Least Common Multiple of 456, 816, 969.

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(456, 816, 969) = 2 x 2 x 2 x 2 x 3 x 17 x 19 = 15504.