Given numbers are 479,260,748,770,864

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

The LCM of 479,260,748,770,864 is 35212937760.

Find LCM of 479,260,748,770,864 with Prime Factorization

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

2 x 2 x 5 x 11 x 479 x 13 x 17 x 7 x 216 = 35212937760

Therefore, the lowest common multiple of 479,260,748,770,864 is 35212937760.

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.

479 x 260 x 748 x 770 x 864 = 61974770457600

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.

479 : 1, 479

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

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

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,260,748,770,864, is 1.

Now, the common factors can be found like this.

479:479

260:2x 2x 5x 13

748:2x 2x 11x 17

770:2x 5x 7x 11

864:2x 2x 2x 2x 2x 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 2x 2x 5x 11 = 1760

Therefore, the value for common factors is 1760.

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 = 61974770457600/(1x1760)

LCM = 61974770457600/1760

LCM = 35212937760

Thus, we can understand that the LCM of 479,260,748,770,864 is 35212937760.

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

• LCM of 526, 435, 317, 103, 332
• LCM of 297, 976, 817, 835, 870
• LCM of 777, 771, 533, 269, 941
• LCM of 439, 152, 801, 338, 654
• LCM of 262, 159, 218, 313, 112

1. What is the LCM of 479, 260, 748, 770, 864?

Answer: LCM of 479, 260, 748, 770, 864 is 35212937760.

2. How to calculate the LCM of 479, 260, 748, 770, 864?

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 479, 260, 748, 770, 864.

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}.