Least Common Multiple of 180, 1928, 406

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 180, 1928, 406 i.e. 17612280 smallest integer divisible by all numbers.

Least common multiple (LCM) of 180, 1928, 406 is 17612280.

LCM(180, 1928, 406) = 17612280

LCM of 180, 1928, 406

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

LCM of:

Least Common Multiple of 180,1928,406

Least Common Multiple (LCM) of 180,1928,406 is 17612280

2 180, 1928, 406
2 90, 964, 203
45, 482, 203

∴ So the LCM of the given numbers is 2 x 2 x 45 x 482 x 203 = 17612280

Least Common Multiple of 180,1928,406 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 180,1928,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,1928,406) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(180,1928,406) x common factors =2 x 4 = 8

LCM(180,1928,406) = ( 180 × 1928 × 406 ) / 8

LCM(180,1928,406) = 140898240 / 8

LCM(180,1928,406) = 17612280

∴ Least Common Multiple of 180,1928,406 is 17612280

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 180, 1928, 406

1. What is the LCM of 180, 1928, 406?

Answer: LCM of 180, 1928, 406 is 17612280.

2. What are the Factors of 17612280?

Answer: Factors of 17612280 are . There are integers that are factors of 17612280

3. How to Find the LCM of 180, 1928, 406 ?

Least Common Multiple of 180, 1928, 406.

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(180, 1928, 406) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 29 x 241 = 17612280.