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LCM of 901, 763, 275, 858

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


Find the LCM of 901, 763, 275, 858 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 901, 763, 275, 858. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,763,275,858

Given numbers are 901,763,275,858

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

The LCM of 901,763,275,858 is 14746081350.

Find LCM of 901,763,275,858 with Prime Factorization


11 901, 763, 275, 858
901, 763, 25, 78

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

11 x 901 x 763 x 25 x 78 = 14746081350

Therefore, the lowest common multiple of 901,763,275,858 is 14746081350.

LCM Formula to Find Lowest Common Multiple of 901,763,275,858

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.

901 x 763 x 275 x 858 = 162206894850

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.

901 : 1, 17, 53, 901

763 : 1, 7, 109, 763

275 : 1, 5, 11, 25, 55, 275

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,763,275,858, is 1.

Now, the common factors can be found like this.

901:17x 53

763:7x 109

275:5x 5x 11

858:2x 3x 11x 13

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 = 162206894850/(1x11)

LCM = 162206894850/11

LCM = 14746081350

Thus, we can understand that the LCM of 901,763,275,858 is 14746081350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 763, 275, 858

1. What is the LCM of 901, 763, 275, 858?

Answer: LCM of 901, 763, 275, 858 is 14746081350.

2. How to calculate the LCM of 901, 763, 275, 858?

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 901, 763, 275, 858.

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}.