Least Common Multiple of 411, 738, 189, 387, 864

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 411, 738, 189, 387, 864 i.e. 1460779488 smallest integer divisible by all numbers.

Least common multiple (LCM) of 411, 738, 189, 387, 864 is 1460779488.

LCM(411, 738, 189, 387, 864) = 1460779488

LCM of 411, 738, 189, 387, 864

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

LCM of:

Least Common Multiple of 411,738,189,387,864

Least Common Multiple (LCM) of 411,738,189,387,864 is 1460779488

2 411, 738, 189, 387, 864
3 411, 369, 189, 387, 432
3 137, 123, 63, 129, 144
3 137, 41, 21, 43, 48
137, 41, 7, 43, 16

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 137 x 41 x 7 x 43 x 16 = 1460779488

Least Common Multiple of 411,738,189,387,864 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 411,738,189,387,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,738,189,387,864) = 3

common factors(in case of two or more numbers have common factors) = 4374

GCF(411,738,189,387,864) x common factors =3 x 4374 = 13122

LCM(411,738,189,387,864) = ( 411 × 738 × 189 × 387 × 864 ) / 13122

LCM(411,738,189,387,864) = 19168348441536 / 13122

LCM(411,738,189,387,864) = 1460779488

∴ Least Common Multiple of 411,738,189,387,864 is 1460779488

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 411, 738, 189, 387, 864

1. What is the LCM of 411, 738, 189, 387, 864?

Answer: LCM of 411, 738, 189, 387, 864 is 1460779488.

2. What are the Factors of 1460779488?

Answer: Factors of 1460779488 are . There are integers that are factors of 1460779488

3. How to Find the LCM of 411, 738, 189, 387, 864 ?

Least Common Multiple of 411, 738, 189, 387, 864.

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(411, 738, 189, 387, 864) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 41 x 43 x 137 = 1460779488.