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LCM of 667, 681, 624, 802

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


Find the LCM of 667, 681, 624, 802 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 667, 681, 624, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,681,624,802

Given numbers are 667,681,624,802

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

The LCM of 667,681,624,802 is 37886165616.

Find LCM of 667,681,624,802 with Prime Factorization


2 667, 681, 624, 802
3 667, 681, 312, 401
667, 227, 104, 401

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

2 x 3 x 667 x 227 x 104 x 401 = 37886165616

Therefore, the lowest common multiple of 667,681,624,802 is 37886165616.

LCM Formula to Find Lowest Common Multiple of 667,681,624,802

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.

667 x 681 x 624 x 802 = 227316993696

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.

667 : 1, 23, 29, 667

681 : 1, 3, 227, 681

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

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,681,624,802, is 1.

Now, the common factors can be found like this.

667:23x 29

681:3x 227

624:2x 2x 2x 2x 3x 13

802:2x 401

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 227316993696/(1x6)

LCM = 227316993696/6

LCM = 37886165616

Thus, we can understand that the LCM of 667,681,624,802 is 37886165616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 681, 624, 802

1. What is the LCM of 667, 681, 624, 802?

Answer: LCM of 667, 681, 624, 802 is 37886165616.

2. How to calculate the LCM of 667, 681, 624, 802?

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 667, 681, 624, 802.

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}.