Least Common Multiple of 230, 868, 105, 423, 470

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 230, 868, 105, 423, 470 i.e. 42223860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 230, 868, 105, 423, 470 is 42223860.

LCM(230, 868, 105, 423, 470) = 42223860

LCM of 230, 868, 105, 423, 470

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

LCM of:

Least Common Multiple of 230,868,105,423,470

Least Common Multiple (LCM) of 230,868,105,423,470 is 42223860

2 230, 868, 105, 423, 470
3 115, 434, 105, 423, 235
5 115, 434, 35, 141, 235
7 23, 434, 7, 141, 47
47 23, 62, 1, 141, 47
23, 62, 1, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 47 x 23 x 62 x 1 x 3 x 1 = 42223860

Least Common Multiple of 230,868,105,423,470 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 230,868,105,423,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,868,105,423,470) = 1

common factors(in case of two or more numbers have common factors) = 98700

GCF(230,868,105,423,470) x common factors =1 x 98700 = 98700

LCM(230,868,105,423,470) = ( 230 × 868 × 105 × 423 × 470 ) / 98700

LCM(230,868,105,423,470) = 4167494982000 / 98700

LCM(230,868,105,423,470) = 42223860

∴ Least Common Multiple of 230,868,105,423,470 is 42223860

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 230, 868, 105, 423, 470

1. What is the LCM of 230, 868, 105, 423, 470?

Answer: LCM of 230, 868, 105, 423, 470 is 42223860.

2. What are the Factors of 42223860?

Answer: Factors of 42223860 are . There are integers that are factors of 42223860

3. How to Find the LCM of 230, 868, 105, 423, 470 ?

Least Common Multiple of 230, 868, 105, 423, 470.

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(230, 868, 105, 423, 470) = 2 x 2 x 3 x 3 x 5 x 7 x 23 x 31 x 47 = 42223860.