Least Common Multiple of 60, 17, 52, 416

Q: How to Find the LCM of 60, 17, 52, 416 ?

Least Common Multiple of 60, 17, 52, 416 = 106080 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(60, 17, 52, 416) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 17 = 106080.

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 60, 17, 52, 416 i.e. 106080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 60, 17, 52, 416 is 106080.

LCM(60, 17, 52, 416) = 106080

LCM of 60, 17, 52, 416

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

Least Common Multiple of 60, 17, 52, 416 by common division method
Least Common Multiple of 60, 17, 52, 416 with GCF Formula

Least Common Multiple of 60,17,52,416

Least Common Multiple (LCM) of 60,17,52,416 is 106080

2	60, 17, 52, 416
2	30, 17, 26, 208
13	15, 17, 13, 104
	15, 17, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 13 x 15 x 17 x 1 x 8 = 106080

Least Common Multiple of 60,17,52,416 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 60,17,52,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,17,52,416) = 1

common factors(in case of two or more numbers have common factors) = 208

GCF(60,17,52,416) x common factors =1 x 208 = 208

LCM(60,17,52,416) = ( 60 × 17 × 52 × 416 ) / 208

LCM(60,17,52,416) = 22064640 / 208

LCM(60,17,52,416) = 106080

∴ Least Common Multiple of 60,17,52,416 is 106080

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 60, 17, 52, 416

1. What is the LCM of 60, 17, 52, 416?

Answer: LCM of 60, 17, 52, 416 is 106080.

2. What are the Factors of 106080?

Answer: Factors of 106080 are . There are integers that are factors of 106080

3. How to Find the LCM of 60, 17, 52, 416 ?

Least Common Multiple of 60, 17, 52, 416.

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(60, 17, 52, 416) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 x 17 = 106080.