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LCM of 260, 518, 296, 729, 251

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


Find the LCM of 260, 518, 296, 729, 251 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 260, 518, 296, 729, 251. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 260,518,296,729,251

Given numbers are 260,518,296,729,251

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

The LCM of 260,518,296,729,251 is 24643611720.

Find LCM of 260,518,296,729,251 with Prime Factorization


2 260, 518, 296, 729, 251
2 130, 259, 148, 729, 251
37 65, 259, 74, 729, 251
65, 7, 2, 729, 251

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

2 x 2 x 37 x 65 x 7 x 2 x 729 x 251 = 24643611720

Therefore, the lowest common multiple of 260,518,296,729,251 is 24643611720.

LCM Formula to Find Lowest Common Multiple of 260,518,296,729,251

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.

260 x 518 x 296 x 729 x 251 = 7294509069120

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

518 : 1, 2, 7, 14, 37, 74, 259, 518

296 : 1, 2, 4, 8, 37, 74, 148, 296

729 : 1, 3, 9, 27, 81, 243, 729

251 : 1, 251

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,518,296,729,251, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

518:2x 7x 37

296:2x 2x 2x 37

729:3x 3x 3x 3x 3x 3

251:251

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 37 = 296

Therefore, the value for common factors is 296.

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 = 7294509069120/(1x296)

LCM = 7294509069120/296

LCM = 24643611720

Thus, we can understand that the LCM of 260,518,296,729,251 is 24643611720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 260, 518, 296, 729, 251

1. What is the LCM of 260, 518, 296, 729, 251?

Answer: LCM of 260, 518, 296, 729, 251 is 24643611720.

2. How to calculate the LCM of 260, 518, 296, 729, 251?

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 260, 518, 296, 729, 251.

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}.