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LCM of 606, 952, 883, 798, 365

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


Find the LCM of 606, 952, 883, 798, 365 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 606, 952, 883, 798, 365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,952,883,798,365

Given numbers are 606,952,883,798,365

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

The LCM of 606,952,883,798,365 is 1766390603880.

Find LCM of 606,952,883,798,365 with Prime Factorization


2 606, 952, 883, 798, 365
3 303, 476, 883, 399, 365
7 101, 476, 883, 133, 365
101, 68, 883, 19, 365

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

2 x 3 x 7 x 101 x 68 x 883 x 19 x 365 = 1766390603880

Therefore, the lowest common multiple of 606,952,883,798,365 is 1766390603880.

LCM Formula to Find Lowest Common Multiple of 606,952,883,798,365

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.

606 x 952 x 883 x 798 x 365 = 148376810725920

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.

606 : 1, 2, 3, 6, 101, 202, 303, 606

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

883 : 1, 883

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,952,883,798,365, is 1.

Now, the common factors can be found like this.

606:2x 3x 101

952:2x 2x 2x 7x 17

883:883

798:2x 3x 7x 19

365:5x 73

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 148376810725920/(1x84)

LCM = 148376810725920/84

LCM = 1766390603880

Thus, we can understand that the LCM of 606,952,883,798,365 is 1766390603880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 952, 883, 798, 365

1. What is the LCM of 606, 952, 883, 798, 365?

Answer: LCM of 606, 952, 883, 798, 365 is 1766390603880.

2. How to calculate the LCM of 606, 952, 883, 798, 365?

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 606, 952, 883, 798, 365.

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}.