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LCM of 802, 930, 930, 212, 858

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


Find the LCM of 802, 930, 930, 212, 858 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 802, 930, 930, 212, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 802,930,930,212,858

Given numbers are 802,930,930,212,858

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

The LCM of 802,930,930,212,858 is 5652872940.

Find LCM of 802,930,930,212,858 with Prime Factorization


2 802, 930, 930, 212, 858
3 401, 465, 465, 106, 429
5 401, 155, 155, 106, 143
31 401, 31, 31, 106, 143
401, 1, 1, 106, 143

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

2 x 3 x 5 x 31 x 401 x 1 x 1 x 106 x 143 = 5652872940

Therefore, the lowest common multiple of 802,930,930,212,858 is 5652872940.

LCM Formula to Find Lowest Common Multiple of 802,930,930,212,858

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.

802 x 930 x 930 x 212 x 858 = 126172124020800

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.

802 : 1, 2, 401, 802

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

212 : 1, 2, 4, 53, 106, 212

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,930,930,212,858, is 2.

Now, the common factors can be found like this.

802:2x 401

930:2x 3x 5x 31

930:2x 3x 5x 31

212:2x 2x 53

858:2x 3x 11x 13

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 3x 3x 5x 31 = 11160

Therefore, the value for common factors is 11160.

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 = 126172124020800/(2x11160)

LCM = 126172124020800/22320

LCM = 5652872940

Thus, we can understand that the LCM of 802,930,930,212,858 is 5652872940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 802, 930, 930, 212, 858

1. What is the LCM of 802, 930, 930, 212, 858?

Answer: LCM of 802, 930, 930, 212, 858 is 5652872940.

2. How to calculate the LCM of 802, 930, 930, 212, 858?

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 802, 930, 930, 212, 858.

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}.