Given numbers are 490,142,701,689

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

The LCM of 490,142,701,689 is 16803187310.

Find LCM of 490,142,701,689 with Prime Factorization

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

2 x 245 x 71 x 701 x 689 = 16803187310

Therefore, the lowest common multiple of 490,142,701,689 is 16803187310.

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.

490 x 142 x 701 x 689 = 33606374620

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

142 : 1, 2, 71, 142

701 : 1, 701

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,142,701,689, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

142:2x 71

701:701

689:13x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 33606374620/(1x2)

LCM = 33606374620/2

LCM = 16803187310

Thus, we can understand that the LCM of 490,142,701,689 is 16803187310.

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

• LCM of 718, 481, 262, 787
• LCM of 993, 966, 188, 447
• LCM of 827, 206, 839, 464
• LCM of 582, 226, 664, 160
• LCM of 826, 384, 231, 305

1. What is the LCM of 490, 142, 701, 689?

Answer: LCM of 490, 142, 701, 689 is 16803187310.

2. How to calculate the LCM of 490, 142, 701, 689?

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 490, 142, 701, 689.

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}.