Least Common Multiple of 68, 71, 90, 305

Q: How to Find the LCM of 68, 71, 90, 305 ?

Least Common Multiple of 68, 71, 90, 305 = 13252860 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(68, 71, 90, 305) = 2 x 2 x 3 x 3 x 5 x 17 x 61 x 71 = 13252860.

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 68, 71, 90, 305 i.e. 13252860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 68, 71, 90, 305 is 13252860.

LCM(68, 71, 90, 305) = 13252860

LCM of 68, 71, 90, 305

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

Least Common Multiple of 68, 71, 90, 305 by common division method
Least Common Multiple of 68, 71, 90, 305 with GCF Formula

Least Common Multiple of 68,71,90,305

Least Common Multiple (LCM) of 68,71,90,305 is 13252860

2	68, 71, 90, 305
5	34, 71, 45, 305
	34, 71, 9, 61

∴ So the LCM of the given numbers is 2 x 5 x 34 x 71 x 9 x 61 = 13252860

Least Common Multiple of 68,71,90,305 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 68,71,90,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,71,90,305) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(68,71,90,305) x common factors =1 x 10 = 10

LCM(68,71,90,305) = ( 68 × 71 × 90 × 305 ) / 10

LCM(68,71,90,305) = 132528600 / 10

LCM(68,71,90,305) = 13252860

∴ Least Common Multiple of 68,71,90,305 is 13252860

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 68, 71, 90, 305

1. What is the LCM of 68, 71, 90, 305?

Answer: LCM of 68, 71, 90, 305 is 13252860.

2. What are the Factors of 13252860?

Answer: Factors of 13252860 are . There are integers that are factors of 13252860

3. How to Find the LCM of 68, 71, 90, 305 ?

Least Common Multiple of 68, 71, 90, 305.

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(68, 71, 90, 305) = 2 x 2 x 3 x 3 x 5 x 17 x 61 x 71 = 13252860.