Least Common Multiple of 138, 315, 305

Q: How to Find the LCM of 138, 315, 305 ?

Least Common Multiple of 138, 315, 305 = 883890 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(138, 315, 305) = 2 x 3 x 3 x 5 x 7 x 23 x 61 = 883890.

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 138, 315, 305 i.e. 883890 smallest integer divisible by all numbers.

Least common multiple (LCM) of 138, 315, 305 is 883890.

LCM(138, 315, 305) = 883890

LCM of 138, 315, 305

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

Least Common Multiple of 138, 315, 305 by common division method
Least Common Multiple of 138, 315, 305 with GCF Formula

Least Common Multiple of 138,315,305

Least Common Multiple (LCM) of 138,315,305 is 883890

3	138, 315, 305
5	46, 105, 305
	46, 21, 61

∴ So the LCM of the given numbers is 3 x 5 x 46 x 21 x 61 = 883890

Least Common Multiple of 138,315,305 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 138,315,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,315,305) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(138,315,305) x common factors =1 x 15 = 15

LCM(138,315,305) = ( 138 × 315 × 305 ) / 15

LCM(138,315,305) = 13258350 / 15

LCM(138,315,305) = 883890

∴ Least Common Multiple of 138,315,305 is 883890

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 138, 315, 305

1. What is the LCM of 138, 315, 305?

Answer: LCM of 138, 315, 305 is 883890.

2. What are the Factors of 883890?

Answer: Factors of 883890 are . There are integers that are factors of 883890

3. How to Find the LCM of 138, 315, 305 ?

Least Common Multiple of 138, 315, 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(138, 315, 305) = 2 x 3 x 3 x 5 x 7 x 23 x 61 = 883890.