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LCM of 913, 864, 349, 949, 478

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


Find the LCM of 913, 864, 349, 949, 478 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, 864, 349, 949, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 913,864,349,949,478

Given numbers are 913,864,349,949,478

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

The LCM of 913,864,349,949,478 is 62441605388448.

Find LCM of 913,864,349,949,478 with Prime Factorization


2 913, 864, 349, 949, 478
913, 432, 349, 949, 239

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

2 x 913 x 432 x 349 x 949 x 239 = 62441605388448

Therefore, the lowest common multiple of 913,864,349,949,478 is 62441605388448.

LCM Formula to Find Lowest Common Multiple of 913,864,349,949,478

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 864 x 349 x 949 x 478 = 124883210776896

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

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

349 : 1, 349

949 : 1, 13, 73, 949

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,864,349,949,478, is 1.

Now, the common factors can be found like this.

913:11x 83

864:2x 2x 2x 2x 2x 3x 3x 3

349:349

949:13x 73

478:2x 239

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

2 = 2

Therefore, the value for common factors is 2.

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 = 124883210776896/(1x2)

LCM = 124883210776896/2

LCM = 62441605388448

Thus, we can understand that the LCM of 913,864,349,949,478 is 62441605388448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 913, 864, 349, 949, 478

1. What is the LCM of 913, 864, 349, 949, 478?

Answer: LCM of 913, 864, 349, 949, 478 is 62441605388448.

2. How to calculate the LCM of 913, 864, 349, 949, 478?

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, 864, 349, 949, 478.

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}.