Given numbers are 701,648,674,498,460

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

The LCM of 701,648,674,498,460 is 1461163642920.

Find LCM of 701,648,674,498,460 with Prime Factorization

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

2 x 2 x 3 x 701 x 54 x 337 x 83 x 115 = 1461163642920

Therefore, the lowest common multiple of 701,648,674,498,460 is 1461163642920.

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.

701 x 648 x 674 x 498 x 460 = 70135854860160

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.

701 : 1, 701

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

674 : 1, 2, 337, 674

498 : 1, 2, 3, 6, 83, 166, 249, 498

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,648,674,498,460, is 1.

Now, the common factors can be found like this.

701:701

648:2x 2x 2x 3x 3x 3x 3

674:2x 337

498:2x 3x 83

460:2x 2x 5x 23

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 3 = 48

Therefore, the value for common factors is 48.

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 = 70135854860160/(1x48)

LCM = 70135854860160/48

LCM = 1461163642920

Thus, we can understand that the LCM of 701,648,674,498,460 is 1461163642920.

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

• LCM of 955, 409, 754, 686, 542
• LCM of 439, 131, 545, 830, 844
• LCM of 922, 314, 523, 145, 242
• LCM of 718, 938, 150, 282, 795
• LCM of 728, 154, 310, 801, 136

1. What is the LCM of 701, 648, 674, 498, 460?

Answer: LCM of 701, 648, 674, 498, 460 is 1461163642920.

2. How to calculate the LCM of 701, 648, 674, 498, 460?

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 701, 648, 674, 498, 460.

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}.