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LCM of 716, 451, 802, 737

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


Find the LCM of 716, 451, 802, 737 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 716, 451, 802, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 716,451,802,737

Given numbers are 716,451,802,737

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

The LCM of 716,451,802,737 is 8675784172.

Find LCM of 716,451,802,737 with Prime Factorization


2 716, 451, 802, 737
11 358, 451, 401, 737
358, 41, 401, 67

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

2 x 11 x 358 x 41 x 401 x 67 = 8675784172

Therefore, the lowest common multiple of 716,451,802,737 is 8675784172.

LCM Formula to Find Lowest Common Multiple of 716,451,802,737

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.

716 x 451 x 802 x 737 = 190867251784

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.

716 : 1, 2, 4, 179, 358, 716

451 : 1, 11, 41, 451

802 : 1, 2, 401, 802

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,451,802,737, is 1.

Now, the common factors can be found like this.

716:2x 2x 179

451:11x 41

802:2x 401

737:11x 67

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 190867251784/(1x22)

LCM = 190867251784/22

LCM = 8675784172

Thus, we can understand that the LCM of 716,451,802,737 is 8675784172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 716, 451, 802, 737

1. What is the LCM of 716, 451, 802, 737?

Answer: LCM of 716, 451, 802, 737 is 8675784172.

2. How to calculate the LCM of 716, 451, 802, 737?

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 716, 451, 802, 737.

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}.