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LCM of 649, 681, 959, 323, 594

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


Find the LCM of 649, 681, 959, 323, 594 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 649, 681, 959, 323, 594. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,681,959,323,594

Given numbers are 649,681,959,323,594

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

The LCM of 649,681,959,323,594 is 2464253847594.

Find LCM of 649,681,959,323,594 with Prime Factorization


3 649, 681, 959, 323, 594
11 649, 227, 959, 323, 198
59, 227, 959, 323, 18

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

3 x 11 x 59 x 227 x 959 x 323 x 18 = 2464253847594

Therefore, the lowest common multiple of 649,681,959,323,594 is 2464253847594.

LCM Formula to Find Lowest Common Multiple of 649,681,959,323,594

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.

649 x 681 x 959 x 323 x 594 = 81320376970602

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.

649 : 1, 11, 59, 649

681 : 1, 3, 227, 681

959 : 1, 7, 137, 959

323 : 1, 17, 19, 323

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,681,959,323,594, is 1.

Now, the common factors can be found like this.

649:11x 59

681:3x 227

959:7x 137

323:17x 19

594:2x 3x 3x 3x 11

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 81320376970602/(1x33)

LCM = 81320376970602/33

LCM = 2464253847594

Thus, we can understand that the LCM of 649,681,959,323,594 is 2464253847594.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 681, 959, 323, 594

1. What is the LCM of 649, 681, 959, 323, 594?

Answer: LCM of 649, 681, 959, 323, 594 is 2464253847594.

2. How to calculate the LCM of 649, 681, 959, 323, 594?

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 649, 681, 959, 323, 594.

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}.