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LCM of 640, 935, 700, 913, 946

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


Find the LCM of 640, 935, 700, 913, 946 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 640, 935, 700, 913, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 640,935,700,913,946

Given numbers are 640,935,700,913,946

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

The LCM of 640,935,700,913,946 is 14949827200.

Find LCM of 640,935,700,913,946 with Prime Factorization


2 640, 935, 700, 913, 946
2 320, 935, 350, 913, 473
5 160, 935, 175, 913, 473
11 32, 187, 35, 913, 473
32, 17, 35, 83, 43

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

2 x 2 x 5 x 11 x 32 x 17 x 35 x 83 x 43 = 14949827200

Therefore, the lowest common multiple of 640,935,700,913,946 is 14949827200.

LCM Formula to Find Lowest Common Multiple of 640,935,700,913,946

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.

640 x 935 x 700 x 913 x 946 = 361785818240000

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.

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

935 : 1, 5, 11, 17, 55, 85, 187, 935

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

913 : 1, 11, 83, 913

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,935,700,913,946, is 1.

Now, the common factors can be found like this.

640:2x 2x 2x 2x 2x 2x 2x 5

935:5x 11x 17

700:2x 2x 5x 5x 7

913:11x 83

946:2x 11x 43

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 2x 5x 5x 11x 11 = 24200

Therefore, the value for common factors is 24200.

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 = 361785818240000/(1x24200)

LCM = 361785818240000/24200

LCM = 14949827200

Thus, we can understand that the LCM of 640,935,700,913,946 is 14949827200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 640, 935, 700, 913, 946

1. What is the LCM of 640, 935, 700, 913, 946?

Answer: LCM of 640, 935, 700, 913, 946 is 14949827200.

2. How to calculate the LCM of 640, 935, 700, 913, 946?

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 640, 935, 700, 913, 946.

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}.