Least Common Multiple of 705, 230, 460

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 705, 230, 460 i.e. 64860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 705, 230, 460 is 64860.

LCM(705, 230, 460) = 64860

LCM of 705, 230, 460

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

LCM of:

Least Common Multiple of 705,230,460

Least Common Multiple (LCM) of 705,230,460 is 64860

2 705, 230, 460
5 705, 115, 230
23 141, 23, 46
141, 1, 2

∴ So the LCM of the given numbers is 2 x 5 x 23 x 141 x 1 x 2 = 64860

Least Common Multiple of 705,230,460 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 705,230,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,230,460) = 5

common factors(in case of two or more numbers have common factors) = 230

GCF(705,230,460) x common factors =5 x 230 = 1150

LCM(705,230,460) = ( 705 × 230 × 460 ) / 1150

LCM(705,230,460) = 74589000 / 1150

LCM(705,230,460) = 64860

∴ Least Common Multiple of 705,230,460 is 64860

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 705, 230, 460

1. What is the LCM of 705, 230, 460?

Answer: LCM of 705, 230, 460 is 64860.

2. What are the Factors of 64860?

Answer: Factors of 64860 are . There are integers that are factors of 64860

3. How to Find the LCM of 705, 230, 460 ?

Least Common Multiple of 705, 230, 460.

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(705, 230, 460) = 2 x 2 x 3 x 5 x 23 x 47 = 64860.