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LCM of 407, 649, 847, 935

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


Find the LCM of 407, 649, 847, 935 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 407, 649, 847, 935. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,649,847,935

Given numbers are 407,649,847,935

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

The LCM of 407,649,847,935 is 157165085.

Find LCM of 407,649,847,935 with Prime Factorization


11 407, 649, 847, 935
37, 59, 77, 85

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

11 x 37 x 59 x 77 x 85 = 157165085

Therefore, the lowest common multiple of 407,649,847,935 is 157165085.

LCM Formula to Find Lowest Common Multiple of 407,649,847,935

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.

407 x 649 x 847 x 935 = 209186728135

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.

407 : 1, 11, 37, 407

649 : 1, 11, 59, 649

847 : 1, 7, 11, 77, 121, 847

935 : 1, 5, 11, 17, 55, 85, 187, 935

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,649,847,935, is 11.

Now, the common factors can be found like this.

407:11x 37

649:11x 59

847:7x 11x 11

935:5x 11x 17

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 209186728135/(11x121)

LCM = 209186728135/1331

LCM = 157165085

Thus, we can understand that the LCM of 407,649,847,935 is 157165085.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 649, 847, 935

1. What is the LCM of 407, 649, 847, 935?

Answer: LCM of 407, 649, 847, 935 is 157165085.

2. How to calculate the LCM of 407, 649, 847, 935?

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 407, 649, 847, 935.

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}.