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LCM of 799, 989, 948, 744, 658

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


Find the LCM of 799, 989, 948, 744, 658 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 799, 989, 948, 744, 658. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 799,989,948,744,658

Given numbers are 799,989,948,744,658

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

The LCM of 799,989,948,744,658 is 325118092152.

Find LCM of 799,989,948,744,658 with Prime Factorization


2 799, 989, 948, 744, 658
2 799, 989, 474, 372, 329
3 799, 989, 237, 186, 329
47 799, 989, 79, 62, 329
17, 989, 79, 62, 7

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

2 x 2 x 3 x 47 x 17 x 989 x 79 x 62 x 7 = 325118092152

Therefore, the lowest common multiple of 799,989,948,744,658 is 325118092152.

LCM Formula to Find Lowest Common Multiple of 799,989,948,744,658

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.

799 x 989 x 948 x 744 x 658 = 366733207947456

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.

799 : 1, 17, 47, 799

989 : 1, 23, 43, 989

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,989,948,744,658, is 1.

Now, the common factors can be found like this.

799:17x 47

989:23x 43

948:2x 2x 3x 79

744:2x 2x 2x 3x 31

658:2x 7x 47

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 3x 47 = 1128

Therefore, the value for common factors is 1128.

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 = 366733207947456/(1x1128)

LCM = 366733207947456/1128

LCM = 325118092152

Thus, we can understand that the LCM of 799,989,948,744,658 is 325118092152.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 799, 989, 948, 744, 658

1. What is the LCM of 799, 989, 948, 744, 658?

Answer: LCM of 799, 989, 948, 744, 658 is 325118092152.

2. How to calculate the LCM of 799, 989, 948, 744, 658?

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 799, 989, 948, 744, 658.

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}.