Least Common Multiple of 345, 465, 868

Q: How to Find the LCM of 345, 465, 868 ?

Least Common Multiple of 345, 465, 868 = 299460 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(345, 465, 868) = 2 x 2 x 3 x 5 x 7 x 23 x 31 = 299460.

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 345, 465, 868 i.e. 299460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 345, 465, 868 is 299460.

LCM(345, 465, 868) = 299460

LCM of 345, 465, 868

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

Least Common Multiple of 345, 465, 868 by common division method
Least Common Multiple of 345, 465, 868 with GCF Formula

Least Common Multiple of 345,465,868

Least Common Multiple (LCM) of 345,465,868 is 299460

3	345, 465, 868
5	115, 155, 868
31	23, 31, 868
	23, 1, 28

∴ So the LCM of the given numbers is 3 x 5 x 31 x 23 x 1 x 28 = 299460

Least Common Multiple of 345,465,868 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 345,465,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,465,868) = 1

common factors(in case of two or more numbers have common factors) = 465

GCF(345,465,868) x common factors =1 x 465 = 465

LCM(345,465,868) = ( 345 × 465 × 868 ) / 465

LCM(345,465,868) = 139248900 / 465

LCM(345,465,868) = 299460

∴ Least Common Multiple of 345,465,868 is 299460

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 345, 465, 868

1. What is the LCM of 345, 465, 868?

Answer: LCM of 345, 465, 868 is 299460.

2. What are the Factors of 299460?

Answer: Factors of 299460 are . There are integers that are factors of 299460

3. How to Find the LCM of 345, 465, 868 ?

Least Common Multiple of 345, 465, 868.

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(345, 465, 868) = 2 x 2 x 3 x 5 x 7 x 23 x 31 = 299460.