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LCM of 412, 979, 769, 935, 553

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


Find the LCM of 412, 979, 769, 935, 553 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 412, 979, 769, 935, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,979,769,935,553

Given numbers are 412,979,769,935,553

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

The LCM of 412,979,769,935,553 is 14579757637060.

Find LCM of 412,979,769,935,553 with Prime Factorization


11 412, 979, 769, 935, 553
412, 89, 769, 85, 553

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

11 x 412 x 89 x 769 x 85 x 553 = 14579757637060

Therefore, the lowest common multiple of 412,979,769,935,553 is 14579757637060.

LCM Formula to Find Lowest Common Multiple of 412,979,769,935,553

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.

412 x 979 x 769 x 935 x 553 = 160377334007660

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.

412 : 1, 2, 4, 103, 206, 412

979 : 1, 11, 89, 979

769 : 1, 769

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

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,979,769,935,553, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

979:11x 89

769:769

935:5x 11x 17

553:7x 79

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

11 = 11

Therefore, the value for common factors is 11.

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 = 160377334007660/(1x11)

LCM = 160377334007660/11

LCM = 14579757637060

Thus, we can understand that the LCM of 412,979,769,935,553 is 14579757637060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 979, 769, 935, 553

1. What is the LCM of 412, 979, 769, 935, 553?

Answer: LCM of 412, 979, 769, 935, 553 is 14579757637060.

2. How to calculate the LCM of 412, 979, 769, 935, 553?

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 412, 979, 769, 935, 553.

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}.