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LCM of 820, 426, 814, 624

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


Find the LCM of 820, 426, 814, 624 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 820, 426, 814, 624. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,426,814,624

Given numbers are 820,426,814,624

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

The LCM of 820,426,814,624 is 3696504240.

Find LCM of 820,426,814,624 with Prime Factorization


2 820, 426, 814, 624
2 410, 213, 407, 312
3 205, 213, 407, 156
205, 71, 407, 52

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

2 x 2 x 3 x 205 x 71 x 407 x 52 = 3696504240

Therefore, the lowest common multiple of 820,426,814,624 is 3696504240.

LCM Formula to Find Lowest Common Multiple of 820,426,814,624

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.

820 x 426 x 814 x 624 = 177432203520

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

426 : 1, 2, 3, 6, 71, 142, 213, 426

814 : 1, 2, 11, 22, 37, 74, 407, 814

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,426,814,624, is 2.

Now, the common factors can be found like this.

820:2x 2x 5x 41

426:2x 3x 71

814:2x 11x 37

624:2x 2x 2x 2x 3x 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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 177432203520/(2x24)

LCM = 177432203520/48

LCM = 3696504240

Thus, we can understand that the LCM of 820,426,814,624 is 3696504240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 820, 426, 814, 624

1. What is the LCM of 820, 426, 814, 624?

Answer: LCM of 820, 426, 814, 624 is 3696504240.

2. How to calculate the LCM of 820, 426, 814, 624?

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 820, 426, 814, 624.

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}.