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LCM of 285, 702, 930, 620

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


Find the LCM of 285, 702, 930, 620 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 285, 702, 930, 620. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 285,702,930,620

Given numbers are 285,702,930,620

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

The LCM of 285,702,930,620 is 4134780.

Find LCM of 285,702,930,620 with Prime Factorization


2 285, 702, 930, 620
3 285, 351, 465, 310
5 95, 117, 155, 310
31 19, 117, 31, 62
19, 117, 1, 2

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

2 x 3 x 5 x 31 x 19 x 117 x 1 x 2 = 4134780

Therefore, the lowest common multiple of 285,702,930,620 is 4134780.

LCM Formula to Find Lowest Common Multiple of 285,702,930,620

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.

285 x 702 x 930 x 620 = 115360362000

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

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

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,702,930,620, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

702:2x 3x 3x 3x 13

930:2x 3x 5x 31

620:2x 2x 5x 31

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 3x 5x 5x 31 = 27900

Therefore, the value for common factors is 27900.

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 = 115360362000/(1x27900)

LCM = 115360362000/27900

LCM = 4134780

Thus, we can understand that the LCM of 285,702,930,620 is 4134780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 285, 702, 930, 620

1. What is the LCM of 285, 702, 930, 620?

Answer: LCM of 285, 702, 930, 620 is 4134780.

2. How to calculate the LCM of 285, 702, 930, 620?

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 285, 702, 930, 620.

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}.