Least Common Multiple of 460, 705, 450

Q: How to Find the LCM of 460, 705, 450 ?

Least Common Multiple of 460, 705, 450 = 972900 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, 705, 450) = 2 x 2 x 3 x 3 x 5 x 5 x 23 x 47 = 972900.

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, 705, 450 i.e. 972900 smallest integer divisible by all numbers.

Least common multiple (LCM) of 460, 705, 450 is 972900.

LCM(460, 705, 450) = 972900

LCM of 460, 705, 450

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

Least Common Multiple of 460, 705, 450 by common division method
Least Common Multiple of 460, 705, 450 with GCF Formula

Least Common Multiple of 460,705,450

Least Common Multiple (LCM) of 460,705,450 is 972900

2	460, 705, 450
3	230, 705, 225
5	230, 235, 75
	46, 47, 15

∴ So the LCM of the given numbers is 2 x 3 x 5 x 46 x 47 x 15 = 972900

Least Common Multiple of 460,705,450 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 460,705,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,705,450) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(460,705,450) x common factors =5 x 30 = 150

LCM(460,705,450) = ( 460 × 705 × 450 ) / 150

LCM(460,705,450) = 145935000 / 150

LCM(460,705,450) = 972900

∴ Least Common Multiple of 460,705,450 is 972900

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, 705, 450

1. What is the LCM of 460, 705, 450?

Answer: LCM of 460, 705, 450 is 972900.

2. What are the Factors of 972900?

Answer: Factors of 972900 are . There are integers that are factors of 972900

3. How to Find the LCM of 460, 705, 450 ?

Least Common Multiple of 460, 705, 450.

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, 705, 450) = 2 x 2 x 3 x 3 x 5 x 5 x 23 x 47 = 972900.