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LCM of 649, 944, 670, 579

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


Find the LCM of 649, 944, 670, 579 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, 944, 670, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,944,670,579

Given numbers are 649,944,670,579

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

The LCM of 649,944,670,579 is 2014132560.

Find LCM of 649,944,670,579 with Prime Factorization


2 649, 944, 670, 579
59 649, 472, 335, 579
11, 8, 335, 579

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

2 x 59 x 11 x 8 x 335 x 579 = 2014132560

Therefore, the lowest common multiple of 649,944,670,579 is 2014132560.

LCM Formula to Find Lowest Common Multiple of 649,944,670,579

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 944 x 670 x 579 = 237667642080

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

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

670 : 1, 2, 5, 10, 67, 134, 335, 670

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,944,670,579, is 1.

Now, the common factors can be found like this.

649:11x 59

944:2x 2x 2x 2x 59

670:2x 5x 67

579:3x 193

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 = 237667642080/(1x118)

LCM = 237667642080/118

LCM = 2014132560

Thus, we can understand that the LCM of 649,944,670,579 is 2014132560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 944, 670, 579

1. What is the LCM of 649, 944, 670, 579?

Answer: LCM of 649, 944, 670, 579 is 2014132560.

2. How to calculate the LCM of 649, 944, 670, 579?

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, 944, 670, 579.

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}.