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LCM of 879, 299, 774, 732, 407

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


Find the LCM of 879, 299, 774, 732, 407 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 879, 299, 774, 732, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 879,299,774,732,407

Given numbers are 879,299,774,732,407

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

The LCM of 879,299,774,732,407 is 3366929394972.

Find LCM of 879,299,774,732,407 with Prime Factorization


2 879, 299, 774, 732, 407
3 879, 299, 387, 366, 407
293, 299, 129, 122, 407

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

2 x 3 x 293 x 299 x 129 x 122 x 407 = 3366929394972

Therefore, the lowest common multiple of 879,299,774,732,407 is 3366929394972.

LCM Formula to Find Lowest Common Multiple of 879,299,774,732,407

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.

879 x 299 x 774 x 732 x 407 = 60604729109496

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.

879 : 1, 3, 293, 879

299 : 1, 13, 23, 299

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,299,774,732,407, is 1.

Now, the common factors can be found like this.

879:3x 293

299:13x 23

774:2x 3x 3x 43

732:2x 2x 3x 61

407:11x 37

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 60604729109496/(1x18)

LCM = 60604729109496/18

LCM = 3366929394972

Thus, we can understand that the LCM of 879,299,774,732,407 is 3366929394972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 879, 299, 774, 732, 407

1. What is the LCM of 879, 299, 774, 732, 407?

Answer: LCM of 879, 299, 774, 732, 407 is 3366929394972.

2. How to calculate the LCM of 879, 299, 774, 732, 407?

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 879, 299, 774, 732, 407.

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}.