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LCM of 902, 646, 522, 185

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


Find the LCM of 902, 646, 522, 185 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 902, 646, 522, 185. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,646,522,185

Given numbers are 902,646,522,185

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

The LCM of 902,646,522,185 is 14067641610.

Find LCM of 902,646,522,185 with Prime Factorization


2 902, 646, 522, 185
451, 323, 261, 185

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

2 x 451 x 323 x 261 x 185 = 14067641610

Therefore, the lowest common multiple of 902,646,522,185 is 14067641610.

LCM Formula to Find Lowest Common Multiple of 902,646,522,185

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.

902 x 646 x 522 x 185 = 56270566440

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

646 : 1, 2, 17, 19, 34, 38, 323, 646

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,646,522,185, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

646:2x 17x 19

522:2x 3x 3x 29

185:5x 37

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 56270566440/(1x4)

LCM = 56270566440/4

LCM = 14067641610

Thus, we can understand that the LCM of 902,646,522,185 is 14067641610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 646, 522, 185

1. What is the LCM of 902, 646, 522, 185?

Answer: LCM of 902, 646, 522, 185 is 14067641610.

2. How to calculate the LCM of 902, 646, 522, 185?

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 902, 646, 522, 185.

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}.