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LCM of 990, 583, 748, 173

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


Find the LCM of 990, 583, 748, 173 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 990, 583, 748, 173. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,583,748,173

Given numbers are 990,583,748,173

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

The LCM of 990,583,748,173 is 308628540.

Find LCM of 990,583,748,173 with Prime Factorization


2 990, 583, 748, 173
11 495, 583, 374, 173
45, 53, 34, 173

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

2 x 11 x 45 x 53 x 34 x 173 = 308628540

Therefore, the lowest common multiple of 990,583,748,173 is 308628540.

LCM Formula to Find Lowest Common Multiple of 990,583,748,173

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.

990 x 583 x 748 x 173 = 74688106680

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

583 : 1, 11, 53, 583

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,583,748,173, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

583:11x 53

748:2x 2x 11x 17

173:173

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 74688106680/(1x242)

LCM = 74688106680/242

LCM = 308628540

Thus, we can understand that the LCM of 990,583,748,173 is 308628540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 583, 748, 173

1. What is the LCM of 990, 583, 748, 173?

Answer: LCM of 990, 583, 748, 173 is 308628540.

2. How to calculate the LCM of 990, 583, 748, 173?

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 990, 583, 748, 173.

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}.