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LCM of 334, 329, 343, 472, 470

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


Find the LCM of 334, 329, 343, 472, 470 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 334, 329, 343, 472, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,329,343,472,470

Given numbers are 334,329,343,472,470

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

The LCM of 334,329,343,472,470 is 6353608520.

Find LCM of 334,329,343,472,470 with Prime Factorization


2 334, 329, 343, 472, 470
7 167, 329, 343, 236, 235
47 167, 47, 49, 236, 235
167, 1, 49, 236, 5

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

2 x 7 x 47 x 167 x 1 x 49 x 236 x 5 = 6353608520

Therefore, the lowest common multiple of 334,329,343,472,470 is 6353608520.

LCM Formula to Find Lowest Common Multiple of 334,329,343,472,470

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.

334 x 329 x 343 x 472 x 470 = 8361348812320

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.

334 : 1, 2, 167, 334

329 : 1, 7, 47, 329

343 : 1, 7, 49, 343

472 : 1, 2, 4, 8, 59, 118, 236, 472

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,329,343,472,470, is 1.

Now, the common factors can be found like this.

334:2x 167

329:7x 47

343:7x 7x 7

472:2x 2x 2x 59

470:2x 5x 47

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

2x 2x 7x 47 = 1316

Therefore, the value for common factors is 1316.

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 = 8361348812320/(1x1316)

LCM = 8361348812320/1316

LCM = 6353608520

Thus, we can understand that the LCM of 334,329,343,472,470 is 6353608520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 329, 343, 472, 470

1. What is the LCM of 334, 329, 343, 472, 470?

Answer: LCM of 334, 329, 343, 472, 470 is 6353608520.

2. How to calculate the LCM of 334, 329, 343, 472, 470?

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 334, 329, 343, 472, 470.

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}.