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LCM of 913, 434, 912, 961, 715

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


Find the LCM of 913, 434, 912, 961, 715 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 913, 434, 912, 961, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 913,434,912,961,715

Given numbers are 913,434,912,961,715

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

The LCM of 913,434,912,961,715 is 364082999280.

Find LCM of 913,434,912,961,715 with Prime Factorization


2 913, 434, 912, 961, 715
11 913, 217, 456, 961, 715
31 83, 217, 456, 961, 65
83, 7, 456, 31, 65

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

2 x 11 x 31 x 83 x 7 x 456 x 31 x 65 = 364082999280

Therefore, the lowest common multiple of 913,434,912,961,715 is 364082999280.

LCM Formula to Find Lowest Common Multiple of 913,434,912,961,715

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.

913 x 434 x 912 x 961 x 715 = 248304605508960

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.

913 : 1, 11, 83, 913

434 : 1, 2, 7, 14, 31, 62, 217, 434

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

961 : 1, 31, 961

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,434,912,961,715, is 1.

Now, the common factors can be found like this.

913:11x 83

434:2x 7x 31

912:2x 2x 2x 2x 3x 19

961:31x 31

715:5x 11x 13

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

2x 11x 31 = 682

Therefore, the value for common factors is 682.

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 = 248304605508960/(1x682)

LCM = 248304605508960/682

LCM = 364082999280

Thus, we can understand that the LCM of 913,434,912,961,715 is 364082999280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 913, 434, 912, 961, 715

1. What is the LCM of 913, 434, 912, 961, 715?

Answer: LCM of 913, 434, 912, 961, 715 is 364082999280.

2. How to calculate the LCM of 913, 434, 912, 961, 715?

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 913, 434, 912, 961, 715.

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}.