Least Common Multiple of 144, 180, 993, 149

Q: How to Find the LCM of 144, 180, 993, 149 ?

Least Common Multiple of 144, 180, 993, 149 = 35509680 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(144, 180, 993, 149) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 149 x 331 = 35509680.

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 144, 180, 993, 149 i.e. 35509680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 144, 180, 993, 149 is 35509680.

LCM(144, 180, 993, 149) = 35509680

LCM of 144, 180, 993, 149

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

Least Common Multiple of 144, 180, 993, 149 by common division method
Least Common Multiple of 144, 180, 993, 149 with GCF Formula

Least Common Multiple of 144,180,993,149

Least Common Multiple (LCM) of 144,180,993,149 is 35509680

2	144, 180, 993, 149
2	72, 90, 993, 149
3	36, 45, 993, 149
3	12, 15, 331, 149
	4, 5, 331, 149

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 4 x 5 x 331 x 149 = 35509680

Least Common Multiple of 144,180,993,149 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 144,180,993,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,180,993,149) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(144,180,993,149) x common factors =1 x 108 = 108

LCM(144,180,993,149) = ( 144 × 180 × 993 × 149 ) / 108

LCM(144,180,993,149) = 3835045440 / 108

LCM(144,180,993,149) = 35509680

∴ Least Common Multiple of 144,180,993,149 is 35509680

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 144, 180, 993, 149

1. What is the LCM of 144, 180, 993, 149?

Answer: LCM of 144, 180, 993, 149 is 35509680.

2. What are the Factors of 35509680?

Answer: Factors of 35509680 are . There are integers that are factors of 35509680

3. How to Find the LCM of 144, 180, 993, 149 ?

Least Common Multiple of 144, 180, 993, 149.

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(144, 180, 993, 149) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 149 x 331 = 35509680.