Least Common Multiple of 85, 338, 780

Q: How to Find the LCM of 85, 338, 780 ?

Least Common Multiple of 85, 338, 780 = 172380 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(85, 338, 780) = 2 x 2 x 3 x 5 x 13 x 13 x 17 = 172380.

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 85, 338, 780 i.e. 172380 smallest integer divisible by all numbers.

Least common multiple (LCM) of 85, 338, 780 is 172380.

LCM(85, 338, 780) = 172380

LCM of 85, 338, 780

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

Least Common Multiple of 85, 338, 780 by common division method
Least Common Multiple of 85, 338, 780 with GCF Formula

Least Common Multiple of 85,338,780

Least Common Multiple (LCM) of 85,338,780 is 172380

2	85, 338, 780
5	85, 169, 390
13	17, 169, 78
	17, 13, 6

∴ So the LCM of the given numbers is 2 x 5 x 13 x 17 x 13 x 6 = 172380

Least Common Multiple of 85,338,780 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 85,338,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,338,780) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(85,338,780) x common factors =1 x 130 = 130

LCM(85,338,780) = ( 85 × 338 × 780 ) / 130

LCM(85,338,780) = 22409400 / 130

LCM(85,338,780) = 172380

∴ Least Common Multiple of 85,338,780 is 172380

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 85, 338, 780

1. What is the LCM of 85, 338, 780?

Answer: LCM of 85, 338, 780 is 172380.

2. What are the Factors of 172380?

Answer: Factors of 172380 are . There are integers that are factors of 172380

3. How to Find the LCM of 85, 338, 780 ?

Least Common Multiple of 85, 338, 780.

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(85, 338, 780) = 2 x 2 x 3 x 5 x 13 x 13 x 17 = 172380.