Given numbers are 109,748,286,506,486

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

The LCM of 109,748,286,506,486 is 5923870524.

Find LCM of 109,748,286,506,486 with Prime Factorization

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

2 x 11 x 109 x 34 x 13 x 23 x 243 = 5923870524

Therefore, the lowest common multiple of 109,748,286,506,486 is 5923870524.

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.

109 x 748 x 286 x 506 x 486 = 5734306667232

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.

109 : 1, 109

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

286 : 1, 2, 11, 13, 22, 26, 143, 286

506 : 1, 2, 11, 22, 23, 46, 253, 506

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,748,286,506,486, is 1.

Now, the common factors can be found like this.

109:109

748:2x 2x 11x 17

286:2x 11x 13

506:2x 11x 23

486:2x 3x 3x 3x 3x 3

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 5734306667232/(1x968)

LCM = 5734306667232/968

LCM = 5923870524

Thus, we can understand that the LCM of 109,748,286,506,486 is 5923870524.

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

• LCM of 562, 769, 749, 833, 316
• LCM of 448, 290, 479, 645, 805
• LCM of 712, 346, 264, 229, 722
• LCM of 488, 123, 743, 986, 314
• LCM of 145, 529, 263, 262, 240

1. What is the LCM of 109, 748, 286, 506, 486?

Answer: LCM of 109, 748, 286, 506, 486 is 5923870524.

2. How to calculate the LCM of 109, 748, 286, 506, 486?

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 109, 748, 286, 506, 486.

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}.