Least Common Multiple of 58, 64, 80, 975

Q: How to Find the LCM of 58, 64, 80, 975 ?

Least Common Multiple of 58, 64, 80, 975 = 1809600 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(58, 64, 80, 975) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 29 = 1809600.

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 58, 64, 80, 975 i.e. 1809600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 58, 64, 80, 975 is 1809600.

LCM(58, 64, 80, 975) = 1809600

LCM of 58, 64, 80, 975

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

Least Common Multiple of 58, 64, 80, 975 by common division method
Least Common Multiple of 58, 64, 80, 975 with GCF Formula

Least Common Multiple of 58,64,80,975

Least Common Multiple (LCM) of 58,64,80,975 is 1809600

2	58, 64, 80, 975
2	29, 32, 40, 975
2	29, 16, 20, 975
2	29, 8, 10, 975
5	29, 4, 5, 975
	29, 4, 1, 195

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 29 x 4 x 1 x 195 = 1809600

Least Common Multiple of 58,64,80,975 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 58,64,80,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,64,80,975) = 1

common factors(in case of two or more numbers have common factors) = 160

GCF(58,64,80,975) x common factors =1 x 160 = 160

LCM(58,64,80,975) = ( 58 × 64 × 80 × 975 ) / 160

LCM(58,64,80,975) = 289536000 / 160

LCM(58,64,80,975) = 1809600

∴ Least Common Multiple of 58,64,80,975 is 1809600

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 58, 64, 80, 975

1. What is the LCM of 58, 64, 80, 975?

Answer: LCM of 58, 64, 80, 975 is 1809600.

2. What are the Factors of 1809600?

Answer: Factors of 1809600 are . There are integers that are factors of 1809600

3. How to Find the LCM of 58, 64, 80, 975 ?

Least Common Multiple of 58, 64, 80, 975.

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(58, 64, 80, 975) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 x 29 = 1809600.