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LCM of 648, 989, 716, 795

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


Find the LCM of 648, 989, 716, 795 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 648, 989, 716, 795. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,989,716,795

Given numbers are 648,989,716,795

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

The LCM of 648,989,716,795 is 30399763320.

Find LCM of 648,989,716,795 with Prime Factorization


2 648, 989, 716, 795
2 324, 989, 358, 795
3 162, 989, 179, 795
54, 989, 179, 265

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

2 x 2 x 3 x 54 x 989 x 179 x 265 = 30399763320

Therefore, the lowest common multiple of 648,989,716,795 is 30399763320.

LCM Formula to Find Lowest Common Multiple of 648,989,716,795

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.

648 x 989 x 716 x 795 = 364797159840

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

989 : 1, 23, 43, 989

716 : 1, 2, 4, 179, 358, 716

795 : 1, 3, 5, 15, 53, 159, 265, 795

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,989,716,795, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

989:23x 43

716:2x 2x 179

795:3x 5x 53

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 3 = 12

Therefore, the value for common factors is 12.

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 = 364797159840/(1x12)

LCM = 364797159840/12

LCM = 30399763320

Thus, we can understand that the LCM of 648,989,716,795 is 30399763320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 989, 716, 795

1. What is the LCM of 648, 989, 716, 795?

Answer: LCM of 648, 989, 716, 795 is 30399763320.

2. How to calculate the LCM of 648, 989, 716, 795?

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 648, 989, 716, 795.

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}.