Least Common Multiple of 448, 465, 896, 18

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 448, 465, 896, 18 i.e. 1249920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 448, 465, 896, 18 is 1249920.

LCM(448, 465, 896, 18) = 1249920

LCM of 448, 465, 896, 18

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

LCM of:

Least Common Multiple of 448,465,896,18

Least Common Multiple (LCM) of 448,465,896,18 is 1249920

2 448, 465, 896, 18
2 224, 465, 448, 9
2 112, 465, 224, 9
2 56, 465, 112, 9
2 28, 465, 56, 9
2 14, 465, 28, 9
3 7, 465, 14, 9
7 7, 155, 14, 3
1, 155, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 1 x 155 x 2 x 3 = 1249920

Least Common Multiple of 448,465,896,18 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 448,465,896,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,465,896,18) = 1

common factors(in case of two or more numbers have common factors) = 2688

GCF(448,465,896,18) x common factors =1 x 2688 = 2688

LCM(448,465,896,18) = ( 448 × 465 × 896 × 18 ) / 2688

LCM(448,465,896,18) = 3359784960 / 2688

LCM(448,465,896,18) = 1249920

∴ Least Common Multiple of 448,465,896,18 is 1249920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 448, 465, 896, 18

1. What is the LCM of 448, 465, 896, 18?

Answer: LCM of 448, 465, 896, 18 is 1249920.

2. What are the Factors of 1249920?

Answer: Factors of 1249920 are . There are integers that are factors of 1249920

3. How to Find the LCM of 448, 465, 896, 18 ?

Least Common Multiple of 448, 465, 896, 18.

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(448, 465, 896, 18) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31 = 1249920.