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LCM of 814, 901, 901, 917

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


Find the LCM of 814, 901, 901, 917 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 814, 901, 901, 917. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,901,901,917

Given numbers are 814,901,901,917

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

The LCM of 814,901,901,917 is 672540638.

Find LCM of 814,901,901,917 with Prime Factorization


17 814, 901, 901, 917
53 814, 53, 53, 917
814, 1, 1, 917

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

17 x 53 x 814 x 1 x 1 x 917 = 672540638

Therefore, the lowest common multiple of 814,901,901,917 is 672540638.

LCM Formula to Find Lowest Common Multiple of 814,901,901,917

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.

814 x 901 x 901 x 917 = 605959114838

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

901 : 1, 17, 53, 901

901 : 1, 17, 53, 901

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,901,901,917, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

901:17x 53

901:17x 53

917:7x 131

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

17x 53 = 901

Therefore, the value for common factors is 901.

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 = 605959114838/(1x901)

LCM = 605959114838/901

LCM = 672540638

Thus, we can understand that the LCM of 814,901,901,917 is 672540638.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 901, 901, 917

1. What is the LCM of 814, 901, 901, 917?

Answer: LCM of 814, 901, 901, 917 is 672540638.

2. How to calculate the LCM of 814, 901, 901, 917?

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 814, 901, 901, 917.

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}.