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LCM of 843, 802, 412, 702, 737

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


Find the LCM of 843, 802, 412, 702, 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 843, 802, 412, 702, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 843,802,412,702,737

Given numbers are 843,802,412,702,737

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

The LCM of 843,802,412,702,737 is 12009433256964.

Find LCM of 843,802,412,702,737 with Prime Factorization


2 843, 802, 412, 702, 737
3 843, 401, 206, 351, 737
281, 401, 206, 117, 737

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

2 x 3 x 281 x 401 x 206 x 117 x 737 = 12009433256964

Therefore, the lowest common multiple of 843,802,412,702,737 is 12009433256964.

LCM Formula to Find Lowest Common Multiple of 843,802,412,702,737

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.

843 x 802 x 412 x 702 x 737 = 144113199083568

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.

843 : 1, 3, 281, 843

802 : 1, 2, 401, 802

412 : 1, 2, 4, 103, 206, 412

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,802,412,702,737, is 1.

Now, the common factors can be found like this.

843:3x 281

802:2x 401

412:2x 2x 103

702:2x 3x 3x 3x 13

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 144113199083568/(1x12)

LCM = 144113199083568/12

LCM = 12009433256964

Thus, we can understand that the LCM of 843,802,412,702,737 is 12009433256964.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 843, 802, 412, 702, 737

1. What is the LCM of 843, 802, 412, 702, 737?

Answer: LCM of 843, 802, 412, 702, 737 is 12009433256964.

2. How to calculate the LCM of 843, 802, 412, 702, 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 843, 802, 412, 702, 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}.