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LCM of 850, 880, 946, 507, 799

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


Find the LCM of 850, 880, 946, 507, 799 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, 880, 946, 507, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 850,880,946,507,799

Given numbers are 850,880,946,507,799

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

The LCM of 850,880,946,507,799 is 76643595600.

Find LCM of 850,880,946,507,799 with Prime Factorization


2 850, 880, 946, 507, 799
5 425, 440, 473, 507, 799
11 85, 88, 473, 507, 799
17 85, 8, 43, 507, 799
5, 8, 43, 507, 47

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

2 x 5 x 11 x 17 x 5 x 8 x 43 x 507 x 47 = 76643595600

Therefore, the lowest common multiple of 850,880,946,507,799 is 76643595600.

LCM Formula to Find Lowest Common Multiple of 850,880,946,507,799

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 880 x 946 x 507 x 799 = 286647047544000

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

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

946 : 1, 2, 11, 22, 43, 86, 473, 946

507 : 1, 3, 13, 39, 169, 507

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,880,946,507,799, is 1.

Now, the common factors can be found like this.

850:2x 5x 5x 17

880:2x 2x 2x 2x 5x 11

946:2x 11x 43

507:3x 13x 13

799:17x 47

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 5x 11x 17 = 3740

Therefore, the value for common factors is 3740.

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 = 286647047544000/(1x3740)

LCM = 286647047544000/3740

LCM = 76643595600

Thus, we can understand that the LCM of 850,880,946,507,799 is 76643595600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 850, 880, 946, 507, 799

1. What is the LCM of 850, 880, 946, 507, 799?

Answer: LCM of 850, 880, 946, 507, 799 is 76643595600.

2. How to calculate the LCM of 850, 880, 946, 507, 799?

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, 880, 946, 507, 799.

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}.