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LCM of 230, 771, 720, 696, 104

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


Find the LCM of 230, 771, 720, 696, 104 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 230, 771, 720, 696, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,771,720,696,104

Given numbers are 230,771,720,696,104

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

The LCM of 230,771,720,696,104 is 1604481840.

Find LCM of 230,771,720,696,104 with Prime Factorization


2 230, 771, 720, 696, 104
2 115, 771, 360, 348, 52
2 115, 771, 180, 174, 26
3 115, 771, 90, 87, 13
5 115, 257, 30, 29, 13
23, 257, 6, 29, 13

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

2 x 2 x 2 x 3 x 5 x 23 x 257 x 6 x 29 x 13 = 1604481840

Therefore, the lowest common multiple of 230,771,720,696,104 is 1604481840.

LCM Formula to Find Lowest Common Multiple of 230,771,720,696,104

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.

230 x 771 x 720 x 696 x 104 = 9241815398400

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

771 : 1, 3, 257, 771

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,771,720,696,104, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

771:3x 257

720:2x 2x 2x 2x 3x 3x 5

696:2x 2x 2x 3x 29

104:2x 2x 2x 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 2x 2x 2x 2x 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 9241815398400/(1x5760)

LCM = 9241815398400/5760

LCM = 1604481840

Thus, we can understand that the LCM of 230,771,720,696,104 is 1604481840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 771, 720, 696, 104

1. What is the LCM of 230, 771, 720, 696, 104?

Answer: LCM of 230, 771, 720, 696, 104 is 1604481840.

2. How to calculate the LCM of 230, 771, 720, 696, 104?

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 230, 771, 720, 696, 104.

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}.