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LCM of 519, 528, 672, 352

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


Find the LCM of 519, 528, 672, 352 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 519, 528, 672, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 519,528,672,352

Given numbers are 519,528,672,352

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

The LCM of 519,528,672,352 is 1278816.

Find LCM of 519,528,672,352 with Prime Factorization


2 519, 528, 672, 352
2 519, 264, 336, 176
2 519, 132, 168, 88
2 519, 66, 84, 44
2 519, 33, 42, 22
3 519, 33, 21, 11
11 173, 11, 7, 11
173, 1, 7, 1

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

2 x 2 x 2 x 2 x 2 x 3 x 11 x 173 x 1 x 7 x 1 = 1278816

Therefore, the lowest common multiple of 519,528,672,352 is 1278816.

LCM Formula to Find Lowest Common Multiple of 519,528,672,352

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.

519 x 528 x 672 x 352 = 64820625408

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.

519 : 1, 3, 173, 519

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,528,672,352, is 1.

Now, the common factors can be found like this.

519:3x 173

528:2x 2x 2x 2x 3x 11

672:2x 2x 2x 2x 2x 3x 7

352:2x 2x 2x 2x 2x 11

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 2x 2x 2x 2x 2x 2x 2x 3x 3x 11 = 50688

Therefore, the value for common factors is 50688.

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 = 64820625408/(1x50688)

LCM = 64820625408/50688

LCM = 1278816

Thus, we can understand that the LCM of 519,528,672,352 is 1278816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 519, 528, 672, 352

1. What is the LCM of 519, 528, 672, 352?

Answer: LCM of 519, 528, 672, 352 is 1278816.

2. How to calculate the LCM of 519, 528, 672, 352?

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 519, 528, 672, 352.

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}.