Given numbers are 460,497,518,123,701

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

The LCM of 460,497,518,123,701 is 729355183620.

Find LCM of 460,497,518,123,701 with Prime Factorization

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

2 x 7 x 230 x 71 x 37 x 123 x 701 = 729355183620

Therefore, the lowest common multiple of 460,497,518,123,701 is 729355183620.

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.

460 x 497 x 518 x 123 x 701 = 10210972570680

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.

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

497 : 1, 7, 71, 497

518 : 1, 2, 7, 14, 37, 74, 259, 518

123 : 1, 3, 41, 123

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,497,518,123,701, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

497:7x 71

518:2x 7x 37

123:3x 41

701:701

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 10210972570680/(1x14)

LCM = 10210972570680/14

LCM = 729355183620

Thus, we can understand that the LCM of 460,497,518,123,701 is 729355183620.

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

• LCM of 740, 443, 578, 387, 699
• LCM of 771, 811, 344, 189, 934
• LCM of 176, 347, 295, 788, 202
• LCM of 902, 543, 174, 816, 500
• LCM of 506, 517, 493, 581, 395

1. What is the LCM of 460, 497, 518, 123, 701?

Answer: LCM of 460, 497, 518, 123, 701 is 729355183620.

2. How to calculate the LCM of 460, 497, 518, 123, 701?

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 460, 497, 518, 123, 701.

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}.