Given numbers are 208,802,312,478,119

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

The LCM of 208,802,312,478,119 is 7116620784.

Find LCM of 208,802,312,478,119 with Prime Factorization

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

2 x 2 x 2 x 13 x 2 x 401 x 3 x 239 x 119 = 7116620784

Therefore, the lowest common multiple of 208,802,312,478,119 is 7116620784.

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 802 x 312 x 478 x 119 = 2960514246144

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

802 : 1, 2, 401, 802

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

478 : 1, 2, 239, 478

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,802,312,478,119, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

802:2x 401

312:2x 2x 2x 3x 13

478:2x 239

119:7x 17

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 13 = 416

Therefore, the value for common factors is 416.

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 = 2960514246144/(1x416)

LCM = 2960514246144/416

LCM = 7116620784

Thus, we can understand that the LCM of 208,802,312,478,119 is 7116620784.

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

• LCM of 637, 782, 767, 907, 428
• LCM of 310, 498, 643, 542, 351
• LCM of 688, 631, 960, 620, 662
• LCM of 761, 891, 390, 221, 528
• LCM of 488, 983, 420, 556, 274

1. What is the LCM of 208, 802, 312, 478, 119?

Answer: LCM of 208, 802, 312, 478, 119 is 7116620784.

2. How to calculate the LCM of 208, 802, 312, 478, 119?

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, 802, 312, 478, 119.

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}.