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LCM of 230, 836, 803, 736

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


Find the LCM of 230, 836, 803, 736 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, 836, 803, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,836,803,736

Given numbers are 230,836,803,736

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

The LCM of 230,836,803,736 is 56145760.

Find LCM of 230,836,803,736 with Prime Factorization


2 230, 836, 803, 736
2 115, 418, 803, 368
11 115, 209, 803, 184
23 115, 19, 73, 184
5, 19, 73, 8

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

2 x 2 x 11 x 23 x 5 x 19 x 73 x 8 = 56145760

Therefore, the lowest common multiple of 230,836,803,736 is 56145760.

LCM Formula to Find Lowest Common Multiple of 230,836,803,736

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 836 x 803 x 736 = 113639018240

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

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

803 : 1, 11, 73, 803

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,836,803,736, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

836:2x 2x 11x 19

803:11x 73

736:2x 2x 2x 2x 2x 23

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 11x 23 = 2024

Therefore, the value for common factors is 2024.

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 = 113639018240/(1x2024)

LCM = 113639018240/2024

LCM = 56145760

Thus, we can understand that the LCM of 230,836,803,736 is 56145760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 836, 803, 736

1. What is the LCM of 230, 836, 803, 736?

Answer: LCM of 230, 836, 803, 736 is 56145760.

2. How to calculate the LCM of 230, 836, 803, 736?

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, 836, 803, 736.

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}.