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LCM of 365, 683, 649, 947, 530

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


Find the LCM of 365, 683, 649, 947, 530 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 365, 683, 649, 947, 530. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 365,683,649,947,530

Given numbers are 365,683,649,947,530

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

The LCM of 365,683,649,947,530 is 16241050217810.

Find LCM of 365,683,649,947,530 with Prime Factorization


5 365, 683, 649, 947, 530
73, 683, 649, 947, 106

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

5 x 73 x 683 x 649 x 947 x 106 = 16241050217810

Therefore, the lowest common multiple of 365,683,649,947,530 is 16241050217810.

LCM Formula to Find Lowest Common Multiple of 365,683,649,947,530

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.

365 x 683 x 649 x 947 x 530 = 81205251089050

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.

365 : 1, 5, 73, 365

683 : 1, 683

649 : 1, 11, 59, 649

947 : 1, 947

530 : 1, 2, 5, 10, 53, 106, 265, 530

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,683,649,947,530, is 1.

Now, the common factors can be found like this.

365:5x 73

683:683

649:11x 59

947:947

530:2x 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.

5 = 5

Therefore, the value for common factors is 5.

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 = 81205251089050/(1x5)

LCM = 81205251089050/5

LCM = 16241050217810

Thus, we can understand that the LCM of 365,683,649,947,530 is 16241050217810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 365, 683, 649, 947, 530

1. What is the LCM of 365, 683, 649, 947, 530?

Answer: LCM of 365, 683, 649, 947, 530 is 16241050217810.

2. How to calculate the LCM of 365, 683, 649, 947, 530?

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 365, 683, 649, 947, 530.

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}.