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LCM of 233, 330, 671, 473

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 233, 330, 671, 473 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 233, 330, 671, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 233,330,671,473

Given numbers are 233,330,671,473

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 233,330,671,473 is 201682470.

Find LCM of 233,330,671,473 with Prime Factorization


11 233, 330, 671, 473
233, 30, 61, 43

Multiply the prime numbers at the bottom and the left side.

11 x 233 x 30 x 61 x 43 = 201682470

Therefore, the lowest common multiple of 233,330,671,473 is 201682470.

LCM Formula to Find Lowest Common Multiple of 233,330,671,473

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

233 x 330 x 671 x 473 = 24403578870

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

233 : 1, 233

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

671 : 1, 11, 61, 671

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,330,671,473, is 1.

Now, the common factors can be found like this.

233:233

330:2x 3x 5x 11

671:11x 61

473:11x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 11 = 121

Therefore, the value for common factors is 121.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 24403578870/(1x121)

LCM = 24403578870/121

LCM = 201682470

Thus, we can understand that the LCM of 233,330,671,473 is 201682470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 233, 330, 671, 473

1. What is the LCM of 233, 330, 671, 473?

Answer: LCM of 233, 330, 671, 473 is 201682470.

2. How to calculate the LCM of 233, 330, 671, 473?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 233, 330, 671, 473.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.