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LCM of 197, 802, 779, 246, 488

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


Find the LCM of 197, 802, 779, 246, 488 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 197, 802, 779, 246, 488. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,802,779,246,488

Given numbers are 197,802,779,246,488

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

The LCM of 197,802,779,246,488 is 90092602632.

Find LCM of 197,802,779,246,488 with Prime Factorization


2 197, 802, 779, 246, 488
41 197, 401, 779, 123, 244
197, 401, 19, 3, 244

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

2 x 41 x 197 x 401 x 19 x 3 x 244 = 90092602632

Therefore, the lowest common multiple of 197,802,779,246,488 is 90092602632.

LCM Formula to Find Lowest Common Multiple of 197,802,779,246,488

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.

197 x 802 x 779 x 246 x 488 = 14775186831648

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.

197 : 1, 197

802 : 1, 2, 401, 802

779 : 1, 19, 41, 779

246 : 1, 2, 3, 6, 41, 82, 123, 246

488 : 1, 2, 4, 8, 61, 122, 244, 488

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,802,779,246,488, is 1.

Now, the common factors can be found like this.

197:197

802:2x 401

779:19x 41

246:2x 3x 41

488:2x 2x 2x 61

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 41 = 164

Therefore, the value for common factors is 164.

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 = 14775186831648/(1x164)

LCM = 14775186831648/164

LCM = 90092602632

Thus, we can understand that the LCM of 197,802,779,246,488 is 90092602632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 802, 779, 246, 488

1. What is the LCM of 197, 802, 779, 246, 488?

Answer: LCM of 197, 802, 779, 246, 488 is 90092602632.

2. How to calculate the LCM of 197, 802, 779, 246, 488?

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 197, 802, 779, 246, 488.

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}.