Least Common Multiple of 214, 438, 670, 576, 336

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 214, 438, 670, 576, 336 i.e. 10550473920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 214, 438, 670, 576, 336 is 10550473920.

LCM(214, 438, 670, 576, 336) = 10550473920

LCM of 214, 438, 670, 576, 336

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

LCM of:

Least Common Multiple of 214,438,670,576,336

Least Common Multiple (LCM) of 214,438,670,576,336 is 10550473920

2 214, 438, 670, 576, 336
2 107, 219, 335, 288, 168
2 107, 219, 335, 144, 84
2 107, 219, 335, 72, 42
3 107, 219, 335, 36, 21
107, 73, 335, 12, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 107 x 73 x 335 x 12 x 7 = 10550473920

Least Common Multiple of 214,438,670,576,336 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 214,438,670,576,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,438,670,576,336) = 2

common factors(in case of two or more numbers have common factors) = 576

GCF(214,438,670,576,336) x common factors =2 x 576 = 1152

LCM(214,438,670,576,336) = ( 214 × 438 × 670 × 576 × 336 ) / 1152

LCM(214,438,670,576,336) = 12154145955840 / 1152

LCM(214,438,670,576,336) = 10550473920

∴ Least Common Multiple of 214,438,670,576,336 is 10550473920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 214, 438, 670, 576, 336

1. What is the LCM of 214, 438, 670, 576, 336?

Answer: LCM of 214, 438, 670, 576, 336 is 10550473920.

2. What are the Factors of 10550473920?

Answer: Factors of 10550473920 are . There are integers that are factors of 10550473920

3. How to Find the LCM of 214, 438, 670, 576, 336 ?

Least Common Multiple of 214, 438, 670, 576, 336.

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(214, 438, 670, 576, 336) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 67 x 73 x 107 = 10550473920.