Least Common Multiple of 897, 456, 912

Q: How to Find the LCM of 897, 456, 912 ?

Least Common Multiple of 897, 456, 912 = 272688 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(897, 456, 912) = 2 x 2 x 2 x 2 x 3 x 13 x 19 x 23 = 272688.

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 897, 456, 912 i.e. 272688 smallest integer divisible by all numbers.

Least common multiple (LCM) of 897, 456, 912 is 272688.

LCM(897, 456, 912) = 272688

LCM of 897, 456, 912

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

Least Common Multiple of 897, 456, 912 by common division method
Least Common Multiple of 897, 456, 912 with GCF Formula

Least Common Multiple of 897,456,912

Least Common Multiple (LCM) of 897,456,912 is 272688

2	897, 456, 912
2	897, 228, 456
2	897, 114, 228
3	897, 57, 114
19	299, 19, 38
	299, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 299 x 1 x 2 = 272688

Least Common Multiple of 897,456,912 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 897,456,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,456,912) = 3

common factors(in case of two or more numbers have common factors) = 456

GCF(897,456,912) x common factors =3 x 456 = 1368

LCM(897,456,912) = ( 897 × 456 × 912 ) / 1368

LCM(897,456,912) = 373037184 / 1368

LCM(897,456,912) = 272688

∴ Least Common Multiple of 897,456,912 is 272688

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 897, 456, 912

1. What is the LCM of 897, 456, 912?

Answer: LCM of 897, 456, 912 is 272688.

2. What are the Factors of 272688?

Answer: Factors of 272688 are . There are integers that are factors of 272688

3. How to Find the LCM of 897, 456, 912 ?

Least Common Multiple of 897, 456, 912.

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(897, 456, 912) = 2 x 2 x 2 x 2 x 3 x 13 x 19 x 23 = 272688.