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LCM of 886, 830, 880, 626, 902

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


Find the LCM of 886, 830, 880, 626, 902 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 886, 830, 880, 626, 902. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 886,830,880,626,902

Given numbers are 886,830,880,626,902

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

The LCM of 886,830,880,626,902 is 415233787760.

Find LCM of 886,830,880,626,902 with Prime Factorization


2 886, 830, 880, 626, 902
5 443, 415, 440, 313, 451
11 443, 83, 88, 313, 451
443, 83, 8, 313, 41

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

2 x 5 x 11 x 443 x 83 x 8 x 313 x 41 = 415233787760

Therefore, the lowest common multiple of 886,830,880,626,902 is 415233787760.

LCM Formula to Find Lowest Common Multiple of 886,830,880,626,902

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.

886 x 830 x 880 x 626 x 902 = 365405733228800

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.

886 : 1, 2, 443, 886

830 : 1, 2, 5, 10, 83, 166, 415, 830

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

626 : 1, 2, 313, 626

902 : 1, 2, 11, 22, 41, 82, 451, 902

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,830,880,626,902, is 2.

Now, the common factors can be found like this.

886:2x 443

830:2x 5x 83

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

626:2x 313

902:2x 11x 41

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 2x 5x 11 = 440

Therefore, the value for common factors is 440.

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 = 365405733228800/(2x440)

LCM = 365405733228800/880

LCM = 415233787760

Thus, we can understand that the LCM of 886,830,880,626,902 is 415233787760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 886, 830, 880, 626, 902

1. What is the LCM of 886, 830, 880, 626, 902?

Answer: LCM of 886, 830, 880, 626, 902 is 415233787760.

2. How to calculate the LCM of 886, 830, 880, 626, 902?

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 886, 830, 880, 626, 902.

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}.