Given numbers are 689,247,742,407

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

The LCM of 689,247,742,407 is 74592518.

Find LCM of 689,247,742,407 with Prime Factorization

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

13 x 53 x 1 x 19 x 14 x 407 = 74592518

Therefore, the lowest common multiple of 689,247,742,407 is 74592518.

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.

689 x 247 x 742 x 407 = 51394244902

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.

689 : 1, 13, 53, 689

247 : 1, 13, 19, 247

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

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,247,742,407, is 1.

Now, the common factors can be found like this.

689:13x 53

247:13x 19

742:2x 7x 53

407:11x 37

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

13x 53 = 689

Therefore, the value for common factors is 689.

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 = 51394244902/(1x689)

LCM = 51394244902/689

LCM = 74592518

Thus, we can understand that the LCM of 689,247,742,407 is 74592518.

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

• LCM of 288, 222, 853, 213
• LCM of 664, 859, 113, 939
• LCM of 994, 487, 181, 679
• LCM of 254, 612, 578, 986
• LCM of 401, 582, 670, 637

1. What is the LCM of 689, 247, 742, 407?

Answer: LCM of 689, 247, 742, 407 is 74592518.

2. How to calculate the LCM of 689, 247, 742, 407?

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 689, 247, 742, 407.

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}.