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LCM of 473, 328, 287, 319

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


Find the LCM of 473, 328, 287, 319 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 473, 328, 287, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,328,287,319

Given numbers are 473,328,287,319

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

The LCM of 473,328,287,319 is 31494232.

Find LCM of 473,328,287,319 with Prime Factorization


11 473, 328, 287, 319
41 43, 328, 287, 29
43, 8, 7, 29

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

11 x 41 x 43 x 8 x 7 x 29 = 31494232

Therefore, the lowest common multiple of 473,328,287,319 is 31494232.

LCM Formula to Find Lowest Common Multiple of 473,328,287,319

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.

473 x 328 x 287 x 319 = 14203898632

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.

473 : 1, 11, 43, 473

328 : 1, 2, 4, 8, 41, 82, 164, 328

287 : 1, 7, 41, 287

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,328,287,319, is 1.

Now, the common factors can be found like this.

473:11x 43

328:2x 2x 2x 41

287:7x 41

319:11x 29

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

11x 41 = 451

Therefore, the value for common factors is 451.

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 = 14203898632/(1x451)

LCM = 14203898632/451

LCM = 31494232

Thus, we can understand that the LCM of 473,328,287,319 is 31494232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 328, 287, 319

1. What is the LCM of 473, 328, 287, 319?

Answer: LCM of 473, 328, 287, 319 is 31494232.

2. How to calculate the LCM of 473, 328, 287, 319?

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 473, 328, 287, 319.

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}.