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LCM of 698, 368, 799, 979

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


Find the LCM of 698, 368, 799, 979 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 698, 368, 799, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 698,368,799,979

Given numbers are 698,368,799,979

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

The LCM of 698,368,799,979 is 100462207472.

Find LCM of 698,368,799,979 with Prime Factorization


2 698, 368, 799, 979
349, 184, 799, 979

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

2 x 349 x 184 x 799 x 979 = 100462207472

Therefore, the lowest common multiple of 698,368,799,979 is 100462207472.

LCM Formula to Find Lowest Common Multiple of 698,368,799,979

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.

698 x 368 x 799 x 979 = 200924414944

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.

698 : 1, 2, 349, 698

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

799 : 1, 17, 47, 799

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,368,799,979, is 1.

Now, the common factors can be found like this.

698:2x 349

368:2x 2x 2x 2x 23

799:17x 47

979:11x 89

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

2 = 2

Therefore, the value for common factors is 2.

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 = 200924414944/(1x2)

LCM = 200924414944/2

LCM = 100462207472

Thus, we can understand that the LCM of 698,368,799,979 is 100462207472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 698, 368, 799, 979

1. What is the LCM of 698, 368, 799, 979?

Answer: LCM of 698, 368, 799, 979 is 100462207472.

2. How to calculate the LCM of 698, 368, 799, 979?

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 698, 368, 799, 979.

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}.