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LCM of 252, 930, 663, 935, 663

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


Find the LCM of 252, 930, 663, 935, 663 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 252, 930, 663, 935, 663. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 252,930,663,935,663

Given numbers are 252,930,663,935,663

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

The LCM of 252,930,663,935,663 is 94954860.

Find LCM of 252,930,663,935,663 with Prime Factorization


2 252, 930, 663, 935, 663
3 126, 465, 663, 935, 663
5 42, 155, 221, 935, 221
13 42, 31, 221, 187, 221
17 42, 31, 17, 187, 17
42, 31, 1, 11, 1

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

2 x 3 x 5 x 13 x 17 x 42 x 31 x 1 x 11 x 1 = 94954860

Therefore, the lowest common multiple of 252,930,663,935,663 is 94954860.

LCM Formula to Find Lowest Common Multiple of 252,930,663,935,663

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.

252 x 930 x 663 x 935 x 663 = 96321260435400

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

663 : 1, 3, 13, 17, 39, 51, 221, 663

935 : 1, 5, 11, 17, 55, 85, 187, 935

663 : 1, 3, 13, 17, 39, 51, 221, 663

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,930,663,935,663, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

930:2x 3x 5x 31

663:3x 13x 17

935:5x 11x 17

663:3x 13x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 5x 13x 17x 17 = 1014390

Therefore, the value for common factors is 1014390.

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 = 96321260435400/(1x1014390)

LCM = 96321260435400/1014390

LCM = 94954860

Thus, we can understand that the LCM of 252,930,663,935,663 is 94954860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 252, 930, 663, 935, 663

1. What is the LCM of 252, 930, 663, 935, 663?

Answer: LCM of 252, 930, 663, 935, 663 is 94954860.

2. How to calculate the LCM of 252, 930, 663, 935, 663?

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 252, 930, 663, 935, 663.

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}.