Given numbers are 687,469,199,916

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

The LCM of 687,469,199,916 is 256473588.

Find LCM of 687,469,199,916 with Prime Factorization

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

229 x 3 x 469 x 199 x 4 = 256473588

Therefore, the lowest common multiple of 687,469,199,916 is 256473588.

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.

687 x 469 x 199 x 916 = 58732451652

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.

687 : 1, 3, 229, 687

469 : 1, 7, 67, 469

199 : 1, 199

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,469,199,916, is 1.

Now, the common factors can be found like this.

687:3x 229

469:7x 67

199:199

916:2x 2x 229

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

229 = 229

Therefore, the value for common factors is 229.

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 = 58732451652/(1x229)

LCM = 58732451652/229

LCM = 256473588

Thus, we can understand that the LCM of 687,469,199,916 is 256473588.

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

• LCM of 573, 976, 945, 819
• LCM of 217, 174, 148, 835
• LCM of 192, 456, 854, 579
• LCM of 246, 395, 273, 933
• LCM of 648, 115, 102, 774

1. What is the LCM of 687, 469, 199, 916?

Answer: LCM of 687, 469, 199, 916 is 256473588.

2. How to calculate the LCM of 687, 469, 199, 916?

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 687, 469, 199, 916.

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}.