Least Common Multiple of 9, 405, 567, 945

Q: How to Find the LCM of 9, 405, 567, 945 ?

Least Common Multiple of 9, 405, 567, 945 = 2835 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(9, 405, 567, 945) = 3 x 3 x 3 x 3 x 5 x 7 = 2835.

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 9, 405, 567, 945 i.e. 2835 smallest integer divisible by all numbers.

Least common multiple (LCM) of 9, 405, 567, 945 is 2835.

LCM(9, 405, 567, 945) = 2835

LCM of 9, 405, 567, 945

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

Least Common Multiple of 9, 405, 567, 945 by common division method
Least Common Multiple of 9, 405, 567, 945 with GCF Formula

Least Common Multiple of 9,405,567,945

Least Common Multiple (LCM) of 9,405,567,945 is 2835

3	9, 405, 567, 945
3	3, 135, 189, 315
3	1, 45, 63, 105
3	1, 15, 21, 35
5	1, 5, 7, 35
7	1, 1, 7, 7
	1, 1, 1, 1

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 5 x 7 x 1 x 1 x 1 x 1 = 2835

Least Common Multiple of 9,405,567,945 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 9,405,567,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,405,567,945) = 9

common factors(in case of two or more numbers have common factors) = 76545

GCF(9,405,567,945) x common factors =9 x 76545 = 688905

LCM(9,405,567,945) = ( 9 × 405 × 567 × 945 ) / 688905

LCM(9,405,567,945) = 1953045675 / 688905

LCM(9,405,567,945) = 2835

∴ Least Common Multiple of 9,405,567,945 is 2835

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 9, 405, 567, 945

1. What is the LCM of 9, 405, 567, 945?

Answer: LCM of 9, 405, 567, 945 is 2835.

2. What are the Factors of 2835?

Answer: Factors of 2835 are . There are integers that are factors of 2835

3. How to Find the LCM of 9, 405, 567, 945 ?

Least Common Multiple of 9, 405, 567, 945.

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(9, 405, 567, 945) = 3 x 3 x 3 x 3 x 5 x 7 = 2835.