Given numbers are 214,448,208,273,781

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

The LCM of 214,448,208,273,781 is 1460082624.

Find LCM of 214,448,208,273,781 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 13 x 107 x 4 x 1 x 3 x 781 = 1460082624

Therefore, the lowest common multiple of 214,448,208,273,781 is 1460082624.

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.

214 x 448 x 208 x 273 x 781 = 4251760601088

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.

214 : 1, 2, 107, 214

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

273 : 1, 3, 7, 13, 21, 39, 91, 273

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,448,208,273,781, is 1.

Now, the common factors can be found like this.

214:2x 107

448:2x 2x 2x 2x 2x 2x 7

208:2x 2x 2x 2x 13

273:3x 7x 13

781:11x 71

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

2x 2x 2x 2x 2x 7x 13 = 2912

Therefore, the value for common factors is 2912.

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 = 4251760601088/(1x2912)

LCM = 4251760601088/2912

LCM = 1460082624

Thus, we can understand that the LCM of 214,448,208,273,781 is 1460082624.

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

• LCM of 198, 606, 290, 930, 703
• LCM of 761, 489, 979, 443, 113
• LCM of 802, 453, 561, 155, 384
• LCM of 608, 612, 528, 121, 706
• LCM of 258, 454, 805, 508, 305

1. What is the LCM of 214, 448, 208, 273, 781?

Answer: LCM of 214, 448, 208, 273, 781 is 1460082624.

2. How to calculate the LCM of 214, 448, 208, 273, 781?

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 214, 448, 208, 273, 781.

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}.