Least Common Multiple of 768, 165, 850, 486, 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 768, 165, 850, 486, 338 i.e. 49148985600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 768, 165, 850, 486, 338 is 49148985600.

LCM(768, 165, 850, 486, 338) = 49148985600

LCM of 768, 165, 850, 486, 338

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

LCM of:

Least Common Multiple of 768,165,850,486,338

Least Common Multiple (LCM) of 768,165,850,486,338 is 49148985600

2 768, 165, 850, 486, 338
3 384, 165, 425, 243, 169
5 128, 55, 425, 81, 169
128, 11, 85, 81, 169

∴ So the LCM of the given numbers is 2 x 3 x 5 x 128 x 11 x 85 x 81 x 169 = 49148985600

Least Common Multiple of 768,165,850,486,338 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 768,165,850,486,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,165,850,486,338) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(768,165,850,486,338) x common factors =1 x 360 = 360

LCM(768,165,850,486,338) = ( 768 × 165 × 850 × 486 × 338 ) / 360

LCM(768,165,850,486,338) = 17693634816000 / 360

LCM(768,165,850,486,338) = 49148985600

∴ Least Common Multiple of 768,165,850,486,338 is 49148985600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 768, 165, 850, 486, 338

1. What is the LCM of 768, 165, 850, 486, 338?

Answer: LCM of 768, 165, 850, 486, 338 is 49148985600.

2. What are the Factors of 49148985600?

Answer: Factors of 49148985600 are . There are integers that are factors of 49148985600

3. How to Find the LCM of 768, 165, 850, 486, 338 ?

Least Common Multiple of 768, 165, 850, 486, 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(768, 165, 850, 486, 338) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 11 x 13 x 13 x 17 = 49148985600.