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LCM of 813, 393, 649, 106

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


Find the LCM of 813, 393, 649, 106 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 813, 393, 649, 106. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,393,649,106

Given numbers are 813,393,649,106

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

The LCM of 813,393,649,106 is 7326767382.

Find LCM of 813,393,649,106 with Prime Factorization


3 813, 393, 649, 106
271, 131, 649, 106

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

3 x 271 x 131 x 649 x 106 = 7326767382

Therefore, the lowest common multiple of 813,393,649,106 is 7326767382.

LCM Formula to Find Lowest Common Multiple of 813,393,649,106

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.

813 x 393 x 649 x 106 = 21980302146

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.

813 : 1, 3, 271, 813

393 : 1, 3, 131, 393

649 : 1, 11, 59, 649

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,393,649,106, is 1.

Now, the common factors can be found like this.

813:3x 271

393:3x 131

649:11x 59

106:2x 53

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

3 = 3

Therefore, the value for common factors is 3.

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 = 21980302146/(1x3)

LCM = 21980302146/3

LCM = 7326767382

Thus, we can understand that the LCM of 813,393,649,106 is 7326767382.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 393, 649, 106

1. What is the LCM of 813, 393, 649, 106?

Answer: LCM of 813, 393, 649, 106 is 7326767382.

2. How to calculate the LCM of 813, 393, 649, 106?

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 813, 393, 649, 106.

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}.