Least Common Multiple of 30, 97, 396

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 30, 97, 396 i.e. 192060 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 97, 396 is 192060.

LCM(30, 97, 396) = 192060

LCM of 30, 97, 396

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

LCM of:

Least Common Multiple of 30,97,396

Least Common Multiple (LCM) of 30,97,396 is 192060

2 30, 97, 396
3 15, 97, 198
5, 97, 66

∴ So the LCM of the given numbers is 2 x 3 x 5 x 97 x 66 = 192060

Least Common Multiple of 30,97,396 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 30,97,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,97,396) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,97,396) x common factors =1 x 6 = 6

LCM(30,97,396) = ( 30 × 97 × 396 ) / 6

LCM(30,97,396) = 1152360 / 6

LCM(30,97,396) = 192060

∴ Least Common Multiple of 30,97,396 is 192060

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 30, 97, 396

1. What is the LCM of 30, 97, 396?

Answer: LCM of 30, 97, 396 is 192060.

2. What are the Factors of 192060?

Answer: Factors of 192060 are . There are integers that are factors of 192060

3. How to Find the LCM of 30, 97, 396 ?

Least Common Multiple of 30, 97, 396.

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(30, 97, 396) = 2 x 2 x 3 x 3 x 5 x 11 x 97 = 192060.