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LCM of 501, 407, 706, 649

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


Find the LCM of 501, 407, 706, 649 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 501, 407, 706, 649. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 501,407,706,649

Given numbers are 501,407,706,649

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

The LCM of 501,407,706,649 is 8493542178.

Find LCM of 501,407,706,649 with Prime Factorization


11 501, 407, 706, 649
501, 37, 706, 59

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

11 x 501 x 37 x 706 x 59 = 8493542178

Therefore, the lowest common multiple of 501,407,706,649 is 8493542178.

LCM Formula to Find Lowest Common Multiple of 501,407,706,649

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.

501 x 407 x 706 x 649 = 93428963958

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.

501 : 1, 3, 167, 501

407 : 1, 11, 37, 407

706 : 1, 2, 353, 706

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,407,706,649, is 1.

Now, the common factors can be found like this.

501:3x 167

407:11x 37

706:2x 353

649:11x 59

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

11 = 11

Therefore, the value for common factors is 11.

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 = 93428963958/(1x11)

LCM = 93428963958/11

LCM = 8493542178

Thus, we can understand that the LCM of 501,407,706,649 is 8493542178.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 501, 407, 706, 649

1. What is the LCM of 501, 407, 706, 649?

Answer: LCM of 501, 407, 706, 649 is 8493542178.

2. How to calculate the LCM of 501, 407, 706, 649?

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 501, 407, 706, 649.

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}.