Least Common Multiple of 460, 460, 448

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 460, 460, 448 i.e. 51520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 460, 460, 448 is 51520.

LCM(460, 460, 448) = 51520

LCM of 460, 460, 448

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

LCM of:

Least Common Multiple of 460,460,448

Least Common Multiple (LCM) of 460,460,448 is 51520

2 460, 460, 448
2 230, 230, 224
5 115, 115, 112
23 23, 23, 112
1, 1, 112

∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 1 x 1 x 112 = 51520

Least Common Multiple of 460,460,448 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 460,460,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,460,448) = 4

common factors(in case of two or more numbers have common factors) = 460

GCF(460,460,448) x common factors =4 x 460 = 1840

LCM(460,460,448) = ( 460 × 460 × 448 ) / 1840

LCM(460,460,448) = 94796800 / 1840

LCM(460,460,448) = 51520

∴ Least Common Multiple of 460,460,448 is 51520

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 460, 460, 448

1. What is the LCM of 460, 460, 448?

Answer: LCM of 460, 460, 448 is 51520.

2. What are the Factors of 51520?

Answer: Factors of 51520 are . There are integers that are factors of 51520

3. How to Find the LCM of 460, 460, 448 ?

Least Common Multiple of 460, 460, 448.

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(460, 460, 448) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 23 = 51520.