Least Common Multiple of 384, 945, 520, 106, 730

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 384, 945, 520, 106, 730 i.e. 6083925120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 384, 945, 520, 106, 730 is 6083925120.

LCM(384, 945, 520, 106, 730) = 6083925120

LCM of 384, 945, 520, 106, 730

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

LCM of:

Least Common Multiple of 384,945,520,106,730

Least Common Multiple (LCM) of 384,945,520,106,730 is 6083925120

2 384, 945, 520, 106, 730
2 192, 945, 260, 53, 365
2 96, 945, 130, 53, 365
3 48, 945, 65, 53, 365
5 16, 315, 65, 53, 365
16, 63, 13, 53, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 16 x 63 x 13 x 53 x 73 = 6083925120

Least Common Multiple of 384,945,520,106,730 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 384,945,520,106,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,945,520,106,730) = 1

common factors(in case of two or more numbers have common factors) = 2400

GCF(384,945,520,106,730) x common factors =1 x 2400 = 2400

LCM(384,945,520,106,730) = ( 384 × 945 × 520 × 106 × 730 ) / 2400

LCM(384,945,520,106,730) = 14601420288000 / 2400

LCM(384,945,520,106,730) = 6083925120

∴ Least Common Multiple of 384,945,520,106,730 is 6083925120

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 384, 945, 520, 106, 730

1. What is the LCM of 384, 945, 520, 106, 730?

Answer: LCM of 384, 945, 520, 106, 730 is 6083925120.

2. What are the Factors of 6083925120?

Answer: Factors of 6083925120 are . There are integers that are factors of 6083925120

3. How to Find the LCM of 384, 945, 520, 106, 730 ?

Least Common Multiple of 384, 945, 520, 106, 730.

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(384, 945, 520, 106, 730) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 53 x 73 = 6083925120.