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LCM of 247, 356, 912, 623

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


Find the LCM of 247, 356, 912, 623 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 247, 356, 912, 623. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,356,912,623

Given numbers are 247,356,912,623

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

The LCM of 247,356,912,623 is 7386288.

Find LCM of 247,356,912,623 with Prime Factorization


2 247, 356, 912, 623
2 247, 178, 456, 623
19 247, 89, 228, 623
89 13, 89, 12, 623
13, 1, 12, 7

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

2 x 2 x 19 x 89 x 13 x 1 x 12 x 7 = 7386288

Therefore, the lowest common multiple of 247,356,912,623 is 7386288.

LCM Formula to Find Lowest Common Multiple of 247,356,912,623

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.

247 x 356 x 912 x 623 = 49960852032

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.

247 : 1, 13, 19, 247

356 : 1, 2, 4, 89, 178, 356

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

623 : 1, 7, 89, 623

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,356,912,623, is 1.

Now, the common factors can be found like this.

247:13x 19

356:2x 2x 89

912:2x 2x 2x 2x 3x 19

623:7x 89

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 19x 89 = 6764

Therefore, the value for common factors is 6764.

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 = 49960852032/(1x6764)

LCM = 49960852032/6764

LCM = 7386288

Thus, we can understand that the LCM of 247,356,912,623 is 7386288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 356, 912, 623

1. What is the LCM of 247, 356, 912, 623?

Answer: LCM of 247, 356, 912, 623 is 7386288.

2. How to calculate the LCM of 247, 356, 912, 623?

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 247, 356, 912, 623.

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}.