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LCM of 424, 207, 649, 828, 856

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


Find the LCM of 424, 207, 649, 828, 856 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 424, 207, 649, 828, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 424,207,649,828,856

Given numbers are 424,207,649,828,856

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

The LCM of 424,207,649,828,856 is 6094873224.

Find LCM of 424,207,649,828,856 with Prime Factorization


2 424, 207, 649, 828, 856
2 212, 207, 649, 414, 428
2 106, 207, 649, 207, 214
3 53, 207, 649, 207, 107
3 53, 69, 649, 69, 107
23 53, 23, 649, 23, 107
53, 1, 649, 1, 107

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

2 x 2 x 2 x 3 x 3 x 23 x 53 x 1 x 649 x 1 x 107 = 6094873224

Therefore, the lowest common multiple of 424,207,649,828,856 is 6094873224.

LCM Formula to Find Lowest Common Multiple of 424,207,649,828,856

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.

424 x 207 x 649 x 828 x 856 = 40372440235776

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

207 : 1, 3, 9, 23, 69, 207

649 : 1, 11, 59, 649

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,207,649,828,856, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

207:3x 3x 23

649:11x 59

828:2x 2x 3x 3x 23

856:2x 2x 2x 107

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

2x 2x 2x 2x 2x 3x 3x 23 = 6624

Therefore, the value for common factors is 6624.

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 = 40372440235776/(1x6624)

LCM = 40372440235776/6624

LCM = 6094873224

Thus, we can understand that the LCM of 424,207,649,828,856 is 6094873224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 424, 207, 649, 828, 856

1. What is the LCM of 424, 207, 649, 828, 856?

Answer: LCM of 424, 207, 649, 828, 856 is 6094873224.

2. How to calculate the LCM of 424, 207, 649, 828, 856?

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 424, 207, 649, 828, 856.

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}.