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LCM of 861, 667, 951, 345

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


Find the LCM of 861, 667, 951, 345 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 861, 667, 951, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 861,667,951,345

Given numbers are 861,667,951,345

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

The LCM of 861,667,951,345 is 910244895.

Find LCM of 861,667,951,345 with Prime Factorization


3 861, 667, 951, 345
23 287, 667, 317, 115
287, 29, 317, 5

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

3 x 23 x 287 x 29 x 317 x 5 = 910244895

Therefore, the lowest common multiple of 861,667,951,345 is 910244895.

LCM Formula to Find Lowest Common Multiple of 861,667,951,345

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.

861 x 667 x 951 x 345 = 188420693265

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

667 : 1, 23, 29, 667

951 : 1, 3, 317, 951

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,667,951,345, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

667:23x 29

951:3x 317

345:3x 5x 23

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 188420693265/(1x207)

LCM = 188420693265/207

LCM = 910244895

Thus, we can understand that the LCM of 861,667,951,345 is 910244895.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 861, 667, 951, 345

1. What is the LCM of 861, 667, 951, 345?

Answer: LCM of 861, 667, 951, 345 is 910244895.

2. How to calculate the LCM of 861, 667, 951, 345?

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 861, 667, 951, 345.

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}.