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LCM of 649, 590, 496, 909

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


Find the LCM of 649, 590, 496, 909 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, 590, 496, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,590,496,909

Given numbers are 649,590,496,909

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

The LCM of 649,590,496,909 is 1463053680.

Find LCM of 649,590,496,909 with Prime Factorization


2 649, 590, 496, 909
59 649, 295, 248, 909
11, 5, 248, 909

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

2 x 59 x 11 x 5 x 248 x 909 = 1463053680

Therefore, the lowest common multiple of 649,590,496,909 is 1463053680.

LCM Formula to Find Lowest Common Multiple of 649,590,496,909

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 590 x 496 x 909 = 172640334240

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,590,496,909, is 1.

Now, the common factors can be found like this.

649:11x 59

590:2x 5x 59

496:2x 2x 2x 2x 31

909:3x 3x 101

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 172640334240/(1x118)

LCM = 172640334240/118

LCM = 1463053680

Thus, we can understand that the LCM of 649,590,496,909 is 1463053680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 590, 496, 909

1. What is the LCM of 649, 590, 496, 909?

Answer: LCM of 649, 590, 496, 909 is 1463053680.

2. How to calculate the LCM of 649, 590, 496, 909?

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, 590, 496, 909.

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}.