Least Common Multiple of 344, 352, 208

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 344, 352, 208 i.e. 196768 smallest integer divisible by all numbers.

Least common multiple (LCM) of 344, 352, 208 is 196768.

LCM(344, 352, 208) = 196768

LCM of 344, 352, 208

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

LCM of:

Least Common Multiple of 344,352,208

Least Common Multiple (LCM) of 344,352,208 is 196768

2 344, 352, 208
2 172, 176, 104
2 86, 88, 52
2 43, 44, 26
43, 22, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 22 x 13 = 196768

Least Common Multiple of 344,352,208 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 344,352,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,352,208) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(344,352,208) x common factors =8 x 16 = 128

LCM(344,352,208) = ( 344 × 352 × 208 ) / 128

LCM(344,352,208) = 25186304 / 128

LCM(344,352,208) = 196768

∴ Least Common Multiple of 344,352,208 is 196768

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 344, 352, 208

1. What is the LCM of 344, 352, 208?

Answer: LCM of 344, 352, 208 is 196768.

2. What are the Factors of 196768?

Answer: Factors of 196768 are . There are integers that are factors of 196768

3. How to Find the LCM of 344, 352, 208 ?

Least Common Multiple of 344, 352, 208.

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(344, 352, 208) = 2 x 2 x 2 x 2 x 2 x 11 x 13 x 43 = 196768.