Least Common Multiple of 460, 120, 301

Q: How to Find the LCM of 460, 120, 301 ?

Least Common Multiple of 460, 120, 301 = 830760 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, 120, 301) = 2 x 2 x 2 x 3 x 5 x 7 x 23 x 43 = 830760.

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, 120, 301 i.e. 830760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 460, 120, 301 is 830760.

LCM(460, 120, 301) = 830760

LCM of 460, 120, 301

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

Least Common Multiple of 460, 120, 301 by common division method
Least Common Multiple of 460, 120, 301 with GCF Formula

Least Common Multiple of 460,120,301

Least Common Multiple (LCM) of 460,120,301 is 830760

2	460, 120, 301
2	230, 60, 301
5	115, 30, 301
	23, 6, 301

∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 6 x 301 = 830760

Least Common Multiple of 460,120,301 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 460,120,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,120,301) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(460,120,301) x common factors =1 x 20 = 20

LCM(460,120,301) = ( 460 × 120 × 301 ) / 20

LCM(460,120,301) = 16615200 / 20

LCM(460,120,301) = 830760

∴ Least Common Multiple of 460,120,301 is 830760

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, 120, 301

1. What is the LCM of 460, 120, 301?

Answer: LCM of 460, 120, 301 is 830760.

2. What are the Factors of 830760?

Answer: Factors of 830760 are . There are integers that are factors of 830760

3. How to Find the LCM of 460, 120, 301 ?

Least Common Multiple of 460, 120, 301.

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, 120, 301) = 2 x 2 x 2 x 3 x 5 x 7 x 23 x 43 = 830760.