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LCM of 736, 105, 667, 972, 385

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


Find the LCM of 736, 105, 667, 972, 385 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 736, 105, 667, 972, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,105,667,972,385

Given numbers are 736,105,667,972,385

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

The LCM of 736,105,667,972,385 is 1996837920.

Find LCM of 736,105,667,972,385 with Prime Factorization


2 736, 105, 667, 972, 385
2 368, 105, 667, 486, 385
3 184, 105, 667, 243, 385
5 184, 35, 667, 81, 385
7 184, 7, 667, 81, 77
23 184, 1, 667, 81, 11
8, 1, 29, 81, 11

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

2 x 2 x 3 x 5 x 7 x 23 x 8 x 1 x 29 x 81 x 11 = 1996837920

Therefore, the lowest common multiple of 736,105,667,972,385 is 1996837920.

LCM Formula to Find Lowest Common Multiple of 736,105,667,972,385

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.

736 x 105 x 667 x 972 x 385 = 19289454307200

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.

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

105 : 1, 3, 5, 7, 15, 21, 35, 105

667 : 1, 23, 29, 667

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,105,667,972,385, is 1.

Now, the common factors can be found like this.

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

105:3x 5x 7

667:23x 29

972:2x 2x 3x 3x 3x 3x 3

385:5x 7x 11

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 5x 7x 23 = 9660

Therefore, the value for common factors is 9660.

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 = 19289454307200/(1x9660)

LCM = 19289454307200/9660

LCM = 1996837920

Thus, we can understand that the LCM of 736,105,667,972,385 is 1996837920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 105, 667, 972, 385

1. What is the LCM of 736, 105, 667, 972, 385?

Answer: LCM of 736, 105, 667, 972, 385 is 1996837920.

2. How to calculate the LCM of 736, 105, 667, 972, 385?

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 736, 105, 667, 972, 385.

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}.