Least Common Multiple of 75, 58, 96, 870

Q: How to Find the LCM of 75, 58, 96, 870 ?

Least Common Multiple of 75, 58, 96, 870 = 69600 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(75, 58, 96, 870) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 29 = 69600.

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 75, 58, 96, 870 i.e. 69600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 75, 58, 96, 870 is 69600.

LCM(75, 58, 96, 870) = 69600

LCM of 75, 58, 96, 870

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

Least Common Multiple of 75, 58, 96, 870 by common division method
Least Common Multiple of 75, 58, 96, 870 with GCF Formula

Least Common Multiple of 75,58,96,870

Least Common Multiple (LCM) of 75,58,96,870 is 69600

2	75, 58, 96, 870
3	75, 29, 48, 435
5	25, 29, 16, 145
29	5, 29, 16, 29
	5, 1, 16, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 5 x 1 x 16 x 1 = 69600

Least Common Multiple of 75,58,96,870 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 75,58,96,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,58,96,870) = 1

common factors(in case of two or more numbers have common factors) = 5220

GCF(75,58,96,870) x common factors =1 x 5220 = 5220

LCM(75,58,96,870) = ( 75 × 58 × 96 × 870 ) / 5220

LCM(75,58,96,870) = 363312000 / 5220

LCM(75,58,96,870) = 69600

∴ Least Common Multiple of 75,58,96,870 is 69600

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 75, 58, 96, 870

1. What is the LCM of 75, 58, 96, 870?

Answer: LCM of 75, 58, 96, 870 is 69600.

2. What are the Factors of 69600?

Answer: Factors of 69600 are . There are integers that are factors of 69600

3. How to Find the LCM of 75, 58, 96, 870 ?

Least Common Multiple of 75, 58, 96, 870.

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(75, 58, 96, 870) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 29 = 69600.