Given numbers are 972,260,806,338,226

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

The LCM of 972,260,806,338,226 is 2877154020.

Find LCM of 972,260,806,338,226 with Prime Factorization

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

2 x 2 x 13 x 243 x 5 x 31 x 13 x 113 = 2877154020

Therefore, the lowest common multiple of 972,260,806,338,226 is 2877154020.

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.

972 x 260 x 806 x 338 x 226 = 15559648940160

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

338 : 1, 2, 13, 26, 169, 338

226 : 1, 2, 113, 226

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,260,806,338,226, is 2.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

260:2x 2x 5x 13

806:2x 13x 31

338:2x 13x 13

226:2x 113

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 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 15559648940160/(2x2704)

LCM = 15559648940160/5408

LCM = 2877154020

Thus, we can understand that the LCM of 972,260,806,338,226 is 2877154020.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 863, 529, 889, 521, 607
• LCM of 556, 353, 548, 665, 723
• LCM of 844, 222, 625, 453, 512
• LCM of 493, 174, 342, 887, 253
• LCM of 707, 245, 942, 454, 837

1. What is the LCM of 972, 260, 806, 338, 226?

Answer: LCM of 972, 260, 806, 338, 226 is 2877154020.

2. How to calculate the LCM of 972, 260, 806, 338, 226?

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 972, 260, 806, 338, 226.

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}.