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LCM of 198, 844, 539, 920, 952

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


Find the LCM of 198, 844, 539, 920, 952 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 198, 844, 539, 920, 952. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,844,539,920,952

Given numbers are 198,844,539,920,952

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

The LCM of 198,844,539,920,952 is 16008494040.

Find LCM of 198,844,539,920,952 with Prime Factorization


2 198, 844, 539, 920, 952
2 99, 422, 539, 460, 476
2 99, 211, 539, 230, 238
7 99, 211, 539, 115, 119
11 99, 211, 77, 115, 17
9, 211, 7, 115, 17

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

2 x 2 x 2 x 7 x 11 x 9 x 211 x 7 x 115 x 17 = 16008494040

Therefore, the lowest common multiple of 198,844,539,920,952 is 16008494040.

LCM Formula to Find Lowest Common Multiple of 198,844,539,920,952

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.

198 x 844 x 539 x 920 x 952 = 78889858629120

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

844 : 1, 2, 4, 211, 422, 844

539 : 1, 7, 11, 49, 77, 539

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,844,539,920,952, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

844:2x 2x 211

539:7x 7x 11

920:2x 2x 2x 5x 23

952:2x 2x 2x 7x 17

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

2x 2x 2x 2x 2x 2x 7x 11 = 4928

Therefore, the value for common factors is 4928.

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 = 78889858629120/(1x4928)

LCM = 78889858629120/4928

LCM = 16008494040

Thus, we can understand that the LCM of 198,844,539,920,952 is 16008494040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 844, 539, 920, 952

1. What is the LCM of 198, 844, 539, 920, 952?

Answer: LCM of 198, 844, 539, 920, 952 is 16008494040.

2. How to calculate the LCM of 198, 844, 539, 920, 952?

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 198, 844, 539, 920, 952.

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}.