Least Common Multiple of 3390, 9984

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 3390, 9984 i.e. 5640960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3390, 9984 is 5640960.

LCM(3390, 9984) = 5640960

LCM of 3390, 9984

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

LCM of:

Least Common Multiple of 3390,9984

Least Common Multiple (LCM) of 3390,9984 is 5640960

2 3390, 9984
3 1695, 4992
565, 1664

∴ So the LCM of the given numbers is 2 x 3 x 565 x 1664 = 5640960

Least Common Multiple of 3390,9984 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 3390,9984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3390,9984) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(3390,9984) x common factors =6 x 1 = 6

LCM(3390,9984) = ( 3390 × 9984 ) / 6

LCM(3390,9984) = 33845760 / 6

LCM(3390,9984) = 5640960

∴ Least Common Multiple of 3390,9984 is 5640960

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 3390, 9984

1. What is the LCM of 3390, 9984?

Answer: LCM of 3390, 9984 is 5640960.

2. What are the Factors of 5640960?

Answer: Factors of 5640960 are . There are integers that are factors of 5640960

3. How to Find the LCM of 3390, 9984 ?

Least Common Multiple of 3390, 9984.

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(3390, 9984) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 113 = 5640960.