Given numbers are 456,654,689,153,199

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

The LCM of 456,654,689,153,199 is 347563222344.

Find LCM of 456,654,689,153,199 with Prime Factorization

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

2 x 3 x 76 x 109 x 689 x 51 x 199 = 347563222344

Therefore, the lowest common multiple of 456,654,689,153,199 is 347563222344.

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.

456 x 654 x 689 x 153 x 199 = 6256138002192

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

654 : 1, 2, 3, 6, 109, 218, 327, 654

689 : 1, 13, 53, 689

153 : 1, 3, 9, 17, 51, 153

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,654,689,153,199, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

654:2x 3x 109

689:13x 53

153:3x 3x 17

199:199

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 6256138002192/(1x18)

LCM = 6256138002192/18

LCM = 347563222344

Thus, we can understand that the LCM of 456,654,689,153,199 is 347563222344.

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

• LCM of 935, 308, 951, 766, 591
• LCM of 466, 597, 584, 115, 908
• LCM of 293, 206, 538, 145, 247
• LCM of 808, 686, 644, 995, 322
• LCM of 355, 978, 786, 460, 719

1. What is the LCM of 456, 654, 689, 153, 199?

Answer: LCM of 456, 654, 689, 153, 199 is 347563222344.

2. How to calculate the LCM of 456, 654, 689, 153, 199?

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 456, 654, 689, 153, 199.

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}.