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LCM of 407, 259, 535, 789, 854

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


Find the LCM of 407, 259, 535, 789, 854 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, 259, 535, 789, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,259,535,789,854

Given numbers are 407,259,535,789,854

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

The LCM of 407,259,535,789,854 is 146717887470.

Find LCM of 407,259,535,789,854 with Prime Factorization


7 407, 259, 535, 789, 854
37 407, 37, 535, 789, 122
11, 1, 535, 789, 122

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

7 x 37 x 11 x 1 x 535 x 789 x 122 = 146717887470

Therefore, the lowest common multiple of 407,259,535,789,854 is 146717887470.

LCM Formula to Find Lowest Common Multiple of 407,259,535,789,854

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 259 x 535 x 789 x 854 = 37999932854730

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

259 : 1, 7, 37, 259

535 : 1, 5, 107, 535

789 : 1, 3, 263, 789

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,259,535,789,854, is 1.

Now, the common factors can be found like this.

407:11x 37

259:7x 37

535:5x 107

789:3x 263

854:2x 7x 61

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

7x 37 = 259

Therefore, the value for common factors is 259.

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 = 37999932854730/(1x259)

LCM = 37999932854730/259

LCM = 146717887470

Thus, we can understand that the LCM of 407,259,535,789,854 is 146717887470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 259, 535, 789, 854

1. What is the LCM of 407, 259, 535, 789, 854?

Answer: LCM of 407, 259, 535, 789, 854 is 146717887470.

2. How to calculate the LCM of 407, 259, 535, 789, 854?

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, 259, 535, 789, 854.

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}.