Given numbers are 770,272,508,546,742

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

The LCM of 770,272,508,546,742 is 27489942480.

Find LCM of 770,272,508,546,742 with Prime Factorization

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

2 x 2 x 7 x 55 x 68 x 127 x 39 x 53 = 27489942480

Therefore, the lowest common multiple of 770,272,508,546,742 is 27489942480.

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.

770 x 272 x 508 x 546 x 742 = 43104229808640

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.

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

508 : 1, 2, 4, 127, 254, 508

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,272,508,546,742, is 2.

Now, the common factors can be found like this.

770:2x 5x 7x 11

272:2x 2x 2x 2x 17

508:2x 2x 127

546:2x 3x 7x 13

742:2x 7x 53

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 43104229808640/(2x784)

LCM = 43104229808640/1568

LCM = 27489942480

Thus, we can understand that the LCM of 770,272,508,546,742 is 27489942480.

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

• LCM of 875, 432, 187, 795, 441
• LCM of 914, 717, 637, 668, 300
• LCM of 724, 284, 486, 364, 937
• LCM of 881, 867, 291, 396, 238
• LCM of 326, 617, 976, 846, 203

1. What is the LCM of 770, 272, 508, 546, 742?

Answer: LCM of 770, 272, 508, 546, 742 is 27489942480.

2. How to calculate the LCM of 770, 272, 508, 546, 742?

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 770, 272, 508, 546, 742.

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}.