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LCM of 672, 667, 345, 348, 487

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


Find the LCM of 672, 667, 345, 348, 487 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 672, 667, 345, 348, 487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,667,345,348,487

Given numbers are 672,667,345,348,487

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

The LCM of 672,667,345,348,487 is 1091425440.

Find LCM of 672,667,345,348,487 with Prime Factorization


2 672, 667, 345, 348, 487
2 336, 667, 345, 174, 487
3 168, 667, 345, 87, 487
23 56, 667, 115, 29, 487
29 56, 29, 5, 29, 487
56, 1, 5, 1, 487

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

2 x 2 x 3 x 23 x 29 x 56 x 1 x 5 x 1 x 487 = 1091425440

Therefore, the lowest common multiple of 672,667,345,348,487 is 1091425440.

LCM Formula to Find Lowest Common Multiple of 672,667,345,348,487

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.

672 x 667 x 345 x 348 x 487 = 26207307665280

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.

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

667 : 1, 23, 29, 667

345 : 1, 3, 5, 15, 23, 69, 115, 345

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,667,345,348,487, is 1.

Now, the common factors can be found like this.

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

667:23x 29

345:3x 5x 23

348:2x 2x 3x 29

487:487

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 3x 3x 23x 29 = 24012

Therefore, the value for common factors is 24012.

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 = 26207307665280/(1x24012)

LCM = 26207307665280/24012

LCM = 1091425440

Thus, we can understand that the LCM of 672,667,345,348,487 is 1091425440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 667, 345, 348, 487

1. What is the LCM of 672, 667, 345, 348, 487?

Answer: LCM of 672, 667, 345, 348, 487 is 1091425440.

2. How to calculate the LCM of 672, 667, 345, 348, 487?

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 672, 667, 345, 348, 487.

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}.