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LCM of 837, 963, 800, 416, 628

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


Find the LCM of 837, 963, 800, 416, 628 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 837, 963, 800, 416, 628. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 837,963,800,416,628

Given numbers are 837,963,800,416,628

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

The LCM of 837,963,800,416,628 is 146231935200.

Find LCM of 837,963,800,416,628 with Prime Factorization


2 837, 963, 800, 416, 628
2 837, 963, 400, 208, 314
2 837, 963, 200, 104, 157
2 837, 963, 100, 52, 157
2 837, 963, 50, 26, 157
3 837, 963, 25, 13, 157
3 279, 321, 25, 13, 157
93, 107, 25, 13, 157

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

2 x 2 x 2 x 2 x 2 x 3 x 3 x 93 x 107 x 25 x 13 x 157 = 146231935200

Therefore, the lowest common multiple of 837,963,800,416,628 is 146231935200.

LCM Formula to Find Lowest Common Multiple of 837,963,800,416,628

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.

837 x 963 x 800 x 416 x 628 = 168459189350400

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.

837 : 1, 3, 9, 27, 31, 93, 279, 837

963 : 1, 3, 9, 107, 321, 963

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,963,800,416,628, is 1.

Now, the common factors can be found like this.

837:3x 3x 3x 31

963:3x 3x 107

800:2x 2x 2x 2x 2x 5x 5

416:2x 2x 2x 2x 2x 13

628:2x 2x 157

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 2x 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 168459189350400/(1x1152)

LCM = 168459189350400/1152

LCM = 146231935200

Thus, we can understand that the LCM of 837,963,800,416,628 is 146231935200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 837, 963, 800, 416, 628

1. What is the LCM of 837, 963, 800, 416, 628?

Answer: LCM of 837, 963, 800, 416, 628 is 146231935200.

2. How to calculate the LCM of 837, 963, 800, 416, 628?

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 837, 963, 800, 416, 628.

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}.