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LCM of 610, 324, 514, 434, 949

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


Find the LCM of 610, 324, 514, 434, 949 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 610, 324, 514, 434, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 610,324,514,434,949

Given numbers are 610,324,514,434,949

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

The LCM of 610,324,514,434,949 is 5230026858420.

Find LCM of 610,324,514,434,949 with Prime Factorization


2 610, 324, 514, 434, 949
305, 162, 257, 217, 949

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

2 x 305 x 162 x 257 x 217 x 949 = 5230026858420

Therefore, the lowest common multiple of 610,324,514,434,949 is 5230026858420.

LCM Formula to Find Lowest Common Multiple of 610,324,514,434,949

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.

610 x 324 x 514 x 434 x 949 = 41840214867360

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.

610 : 1, 2, 5, 10, 61, 122, 305, 610

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

514 : 1, 2, 257, 514

434 : 1, 2, 7, 14, 31, 62, 217, 434

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,324,514,434,949, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

324:2x 2x 3x 3x 3x 3

514:2x 257

434:2x 7x 31

949:13x 73

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 2 = 8

Therefore, the value for common factors is 8.

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 = 41840214867360/(1x8)

LCM = 41840214867360/8

LCM = 5230026858420

Thus, we can understand that the LCM of 610,324,514,434,949 is 5230026858420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 610, 324, 514, 434, 949

1. What is the LCM of 610, 324, 514, 434, 949?

Answer: LCM of 610, 324, 514, 434, 949 is 5230026858420.

2. How to calculate the LCM of 610, 324, 514, 434, 949?

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 610, 324, 514, 434, 949.

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}.