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LCM of 648, 321, 702, 331, 763

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


Find the LCM of 648, 321, 702, 331, 763 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, 321, 702, 331, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,321,702,331,763

Given numbers are 648,321,702,331,763

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

The LCM of 648,321,702,331,763 is 227643192504.

Find LCM of 648,321,702,331,763 with Prime Factorization


2 648, 321, 702, 331, 763
3 324, 321, 351, 331, 763
3 108, 107, 117, 331, 763
3 36, 107, 39, 331, 763
12, 107, 13, 331, 763

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

2 x 3 x 3 x 3 x 12 x 107 x 13 x 331 x 763 = 227643192504

Therefore, the lowest common multiple of 648,321,702,331,763 is 227643192504.

LCM Formula to Find Lowest Common Multiple of 648,321,702,331,763

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 321 x 702 x 331 x 763 = 36878197185648

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

321 : 1, 3, 107, 321

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

331 : 1, 331

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,321,702,331,763, is 1.

Now, the common factors can be found like this.

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

321:3x 107

702:2x 3x 3x 3x 13

331:331

763:7x 109

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

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 36878197185648/(1x162)

LCM = 36878197185648/162

LCM = 227643192504

Thus, we can understand that the LCM of 648,321,702,331,763 is 227643192504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 321, 702, 331, 763

1. What is the LCM of 648, 321, 702, 331, 763?

Answer: LCM of 648, 321, 702, 331, 763 is 227643192504.

2. How to calculate the LCM of 648, 321, 702, 331, 763?

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, 321, 702, 331, 763.

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}.