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LCM of 794, 307, 299, 248, 998

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


Find the LCM of 794, 307, 299, 248, 998 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 794, 307, 299, 248, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,307,299,248,998

Given numbers are 794,307,299,248,998

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

The LCM of 794,307,299,248,998 is 4509748232392.

Find LCM of 794,307,299,248,998 with Prime Factorization


2 794, 307, 299, 248, 998
397, 307, 299, 124, 499

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

2 x 397 x 307 x 299 x 124 x 499 = 4509748232392

Therefore, the lowest common multiple of 794,307,299,248,998 is 4509748232392.

LCM Formula to Find Lowest Common Multiple of 794,307,299,248,998

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.

794 x 307 x 299 x 248 x 998 = 18038992929568

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.

794 : 1, 2, 397, 794

307 : 1, 307

299 : 1, 13, 23, 299

248 : 1, 2, 4, 8, 31, 62, 124, 248

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,307,299,248,998, is 1.

Now, the common factors can be found like this.

794:2x 397

307:307

299:13x 23

248:2x 2x 2x 31

998:2x 499

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 = 18038992929568/(1x4)

LCM = 18038992929568/4

LCM = 4509748232392

Thus, we can understand that the LCM of 794,307,299,248,998 is 4509748232392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 307, 299, 248, 998

1. What is the LCM of 794, 307, 299, 248, 998?

Answer: LCM of 794, 307, 299, 248, 998 is 4509748232392.

2. How to calculate the LCM of 794, 307, 299, 248, 998?

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 794, 307, 299, 248, 998.

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}.