Given numbers are 208,263,980,408,154

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

The LCM of 208,263,980,408,154 is 7518791280.

Find LCM of 208,263,980,408,154 with Prime Factorization

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

2 x 2 x 2 x 7 x 26 x 263 x 35 x 51 x 11 = 7518791280

Therefore, the lowest common multiple of 208,263,980,408,154 is 7518791280.

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.

208 x 263 x 980 x 408 x 154 = 3368418493440

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.

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

263 : 1, 263

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

154 : 1, 2, 7, 11, 14, 22, 77, 154

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,263,980,408,154, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

263:263

980:2x 2x 5x 7x 7

408:2x 2x 2x 3x 17

154:2x 7x 11

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 2x 7 = 448

Therefore, the value for common factors is 448.

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 = 3368418493440/(1x448)

LCM = 3368418493440/448

LCM = 7518791280

Thus, we can understand that the LCM of 208,263,980,408,154 is 7518791280.

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

• LCM of 287, 974, 753, 231, 565
• LCM of 626, 646, 944, 951, 791
• LCM of 840, 697, 221, 927, 819
• LCM of 937, 342, 662, 628, 923
• LCM of 120, 251, 147, 127, 105

1. What is the LCM of 208, 263, 980, 408, 154?

Answer: LCM of 208, 263, 980, 408, 154 is 7518791280.

2. How to calculate the LCM of 208, 263, 980, 408, 154?

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 208, 263, 980, 408, 154.

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}.