Least Common Multiple of 34, 42, 68, 488

Q: How to Find the LCM of 34, 42, 68, 488 ?

Least Common Multiple of 34, 42, 68, 488 = 174216 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(34, 42, 68, 488) = 2 x 2 x 2 x 3 x 7 x 17 x 61 = 174216.

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 34, 42, 68, 488 i.e. 174216 smallest integer divisible by all numbers.

Least common multiple (LCM) of 34, 42, 68, 488 is 174216.

LCM(34, 42, 68, 488) = 174216

LCM of 34, 42, 68, 488

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

Least Common Multiple of 34, 42, 68, 488 by common division method
Least Common Multiple of 34, 42, 68, 488 with GCF Formula

Least Common Multiple of 34,42,68,488

Least Common Multiple (LCM) of 34,42,68,488 is 174216

2	34, 42, 68, 488
2	17, 21, 34, 244
17	17, 21, 17, 122
	1, 21, 1, 122

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 21 x 1 x 122 = 174216

Least Common Multiple of 34,42,68,488 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 34,42,68,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,42,68,488) = 2

common factors(in case of two or more numbers have common factors) = 136

GCF(34,42,68,488) x common factors =2 x 136 = 272

LCM(34,42,68,488) = ( 34 × 42 × 68 × 488 ) / 272

LCM(34,42,68,488) = 47386752 / 272

LCM(34,42,68,488) = 174216

∴ Least Common Multiple of 34,42,68,488 is 174216

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 34, 42, 68, 488

1. What is the LCM of 34, 42, 68, 488?

Answer: LCM of 34, 42, 68, 488 is 174216.

2. What are the Factors of 174216?

Answer: Factors of 174216 are . There are integers that are factors of 174216

3. How to Find the LCM of 34, 42, 68, 488 ?

Least Common Multiple of 34, 42, 68, 488.

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(34, 42, 68, 488) = 2 x 2 x 2 x 3 x 7 x 17 x 61 = 174216.