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LCM of 850, 143, 702, 355, 887

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


Find the LCM of 850, 143, 702, 355, 887 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 850, 143, 702, 355, 887. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 850,143,702,355,887

Given numbers are 850,143,702,355,887

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

The LCM of 850,143,702,355,887 is 206681067450.

Find LCM of 850,143,702,355,887 with Prime Factorization


2 850, 143, 702, 355, 887
5 425, 143, 351, 355, 887
13 85, 143, 351, 71, 887
85, 11, 27, 71, 887

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

2 x 5 x 13 x 85 x 11 x 27 x 71 x 887 = 206681067450

Therefore, the lowest common multiple of 850,143,702,355,887 is 206681067450.

LCM Formula to Find Lowest Common Multiple of 850,143,702,355,887

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.

850 x 143 x 702 x 355 x 887 = 26868538768500

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.

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

143 : 1, 11, 13, 143

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

355 : 1, 5, 71, 355

887 : 1, 887

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,143,702,355,887, is 1.

Now, the common factors can be found like this.

850:2x 5x 5x 17

143:11x 13

702:2x 3x 3x 3x 13

355:5x 71

887:887

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 26868538768500/(1x130)

LCM = 26868538768500/130

LCM = 206681067450

Thus, we can understand that the LCM of 850,143,702,355,887 is 206681067450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 850, 143, 702, 355, 887

1. What is the LCM of 850, 143, 702, 355, 887?

Answer: LCM of 850, 143, 702, 355, 887 is 206681067450.

2. How to calculate the LCM of 850, 143, 702, 355, 887?

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 850, 143, 702, 355, 887.

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}.