Least Common Multiple of 64, 90, 30, 789

Q: How to Find the LCM of 64, 90, 30, 789 ?

Least Common Multiple of 64, 90, 30, 789 = 757440 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(64, 90, 30, 789) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 263 = 757440.

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 64, 90, 30, 789 i.e. 757440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 64, 90, 30, 789 is 757440.

LCM(64, 90, 30, 789) = 757440

LCM of 64, 90, 30, 789

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

Least Common Multiple of 64, 90, 30, 789 by common division method
Least Common Multiple of 64, 90, 30, 789 with GCF Formula

Least Common Multiple of 64,90,30,789

Least Common Multiple (LCM) of 64,90,30,789 is 757440

2	64, 90, 30, 789
3	32, 45, 15, 789
5	32, 5, 15, 263
	32, 1, 3, 263

∴ So the LCM of the given numbers is 2 x 3 x 5 x 32 x 1 x 3 x 263 = 757440

Least Common Multiple of 64,90,30,789 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 64,90,30,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,90,30,789) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(64,90,30,789) x common factors =1 x 180 = 180

LCM(64,90,30,789) = ( 64 × 90 × 30 × 789 ) / 180

LCM(64,90,30,789) = 136339200 / 180

LCM(64,90,30,789) = 757440

∴ Least Common Multiple of 64,90,30,789 is 757440

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 64, 90, 30, 789

1. What is the LCM of 64, 90, 30, 789?

Answer: LCM of 64, 90, 30, 789 is 757440.

2. What are the Factors of 757440?

Answer: Factors of 757440 are . There are integers that are factors of 757440

3. How to Find the LCM of 64, 90, 30, 789 ?

Least Common Multiple of 64, 90, 30, 789.

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(64, 90, 30, 789) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 263 = 757440.