Least Common Multiple of 175, 480, 230, 180

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 175, 480, 230, 180 i.e. 1159200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 175, 480, 230, 180 is 1159200.

LCM(175, 480, 230, 180) = 1159200

LCM of 175, 480, 230, 180

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

LCM of:

Least Common Multiple of 175,480,230,180

Least Common Multiple (LCM) of 175,480,230,180 is 1159200

2 175, 480, 230, 180
2 175, 240, 115, 90
3 175, 120, 115, 45
5 175, 40, 115, 15
35, 8, 23, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 35 x 8 x 23 x 3 = 1159200

Least Common Multiple of 175,480,230,180 with GCF Formula

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

We need to calculate greatest common factor of 175,480,230,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,480,230,180) = 5

common factors(in case of two or more numbers have common factors) = 600

GCF(175,480,230,180) x common factors =5 x 600 = 3000

LCM(175,480,230,180) = ( 175 × 480 × 230 × 180 ) / 3000

LCM(175,480,230,180) = 3477600000 / 3000

LCM(175,480,230,180) = 1159200

∴ Least Common Multiple of 175,480,230,180 is 1159200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 175, 480, 230, 180

1. What is the LCM of 175, 480, 230, 180?

Answer: LCM of 175, 480, 230, 180 is 1159200.

2. What are the Factors of 1159200?

Answer: Factors of 1159200 are . There are integers that are factors of 1159200

3. How to Find the LCM of 175, 480, 230, 180 ?

Least Common Multiple of 175, 480, 230, 180.

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(175, 480, 230, 180) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 23 = 1159200.