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LCM of 616, 973, 815, 649, 412

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


Find the LCM of 616, 973, 815, 649, 412 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 616, 973, 815, 649, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,973,815,649,412

Given numbers are 616,973,815,649,412

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

The LCM of 616,973,815,649,412 is 424074694120.

Find LCM of 616,973,815,649,412 with Prime Factorization


2 616, 973, 815, 649, 412
2 308, 973, 815, 649, 206
7 154, 973, 815, 649, 103
11 22, 139, 815, 649, 103
2, 139, 815, 59, 103

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

2 x 2 x 7 x 11 x 2 x 139 x 815 x 59 x 103 = 424074694120

Therefore, the lowest common multiple of 616,973,815,649,412 is 424074694120.

LCM Formula to Find Lowest Common Multiple of 616,973,815,649,412

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.

616 x 973 x 815 x 649 x 412 = 130615005788960

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

973 : 1, 7, 139, 973

815 : 1, 5, 163, 815

649 : 1, 11, 59, 649

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,973,815,649,412, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

973:7x 139

815:5x 163

649:11x 59

412:2x 2x 103

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 130615005788960/(1x308)

LCM = 130615005788960/308

LCM = 424074694120

Thus, we can understand that the LCM of 616,973,815,649,412 is 424074694120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 973, 815, 649, 412

1. What is the LCM of 616, 973, 815, 649, 412?

Answer: LCM of 616, 973, 815, 649, 412 is 424074694120.

2. How to calculate the LCM of 616, 973, 815, 649, 412?

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 616, 973, 815, 649, 412.

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}.