Least Common Multiple of 280, 584, 438, 860, 338

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 280, 584, 438, 860, 338 i.e. 445612440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 280, 584, 438, 860, 338 is 445612440.

LCM(280, 584, 438, 860, 338) = 445612440

LCM of 280, 584, 438, 860, 338

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

LCM of:

Least Common Multiple of 280,584,438,860,338

Least Common Multiple (LCM) of 280,584,438,860,338 is 445612440

2 280, 584, 438, 860, 338
2 140, 292, 219, 430, 169
2 70, 146, 219, 215, 169
5 35, 73, 219, 215, 169
73 7, 73, 219, 43, 169
7, 1, 3, 43, 169

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 73 x 7 x 1 x 3 x 43 x 169 = 445612440

Least Common Multiple of 280,584,438,860,338 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 280,584,438,860,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,584,438,860,338) = 2

common factors(in case of two or more numbers have common factors) = 23360

GCF(280,584,438,860,338) x common factors =2 x 23360 = 46720

LCM(280,584,438,860,338) = ( 280 × 584 × 438 × 860 × 338 ) / 46720

LCM(280,584,438,860,338) = 20819013196800 / 46720

LCM(280,584,438,860,338) = 445612440

∴ Least Common Multiple of 280,584,438,860,338 is 445612440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 280, 584, 438, 860, 338

1. What is the LCM of 280, 584, 438, 860, 338?

Answer: LCM of 280, 584, 438, 860, 338 is 445612440.

2. What are the Factors of 445612440?

Answer: Factors of 445612440 are . There are integers that are factors of 445612440

3. How to Find the LCM of 280, 584, 438, 860, 338 ?

Least Common Multiple of 280, 584, 438, 860, 338.

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(280, 584, 438, 860, 338) = 2 x 2 x 2 x 3 x 5 x 7 x 13 x 13 x 43 x 73 = 445612440.