Least Common Multiple of 138, 3000, 744

Q: How to Find the LCM of 138, 3000, 744 ?

Least Common Multiple of 138, 3000, 744 = 2139000 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, 3000, 744) = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 23 x 31 = 2139000.

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, 3000, 744 i.e. 2139000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 138, 3000, 744 is 2139000.

LCM(138, 3000, 744) = 2139000

LCM of 138, 3000, 744

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

Least Common Multiple of 138, 3000, 744 by common division method
Least Common Multiple of 138, 3000, 744 with GCF Formula

Least Common Multiple of 138,3000,744

Least Common Multiple (LCM) of 138,3000,744 is 2139000

2	138, 3000, 744
2	69, 1500, 372
2	69, 750, 186
3	69, 375, 93
	23, 125, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 125 x 31 = 2139000

Least Common Multiple of 138,3000,744 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 138,3000,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,3000,744) = 6

common factors(in case of two or more numbers have common factors) = 24

GCF(138,3000,744) x common factors =6 x 24 = 144

LCM(138,3000,744) = ( 138 × 3000 × 744 ) / 144

LCM(138,3000,744) = 308016000 / 144

LCM(138,3000,744) = 2139000

∴ Least Common Multiple of 138,3000,744 is 2139000

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, 3000, 744

1. What is the LCM of 138, 3000, 744?

Answer: LCM of 138, 3000, 744 is 2139000.

2. What are the Factors of 2139000?

Answer: Factors of 2139000 are . There are integers that are factors of 2139000

3. How to Find the LCM of 138, 3000, 744 ?

Least Common Multiple of 138, 3000, 744.

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, 3000, 744) = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 23 x 31 = 2139000.