Given numbers are 967,442,905,497,208

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

The LCM of 967,442,905,497,208 is 1537955247920.

Find LCM of 967,442,905,497,208 with Prime Factorization

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

2 x 13 x 967 x 17 x 905 x 497 x 8 = 1537955247920

Therefore, the lowest common multiple of 967,442,905,497,208 is 1537955247920.

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.

967 x 442 x 905 x 497 x 208 = 39986836445920

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.

967 : 1, 967

442 : 1, 2, 13, 17, 26, 34, 221, 442

905 : 1, 5, 181, 905

497 : 1, 7, 71, 497

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,442,905,497,208, is 1.

Now, the common factors can be found like this.

967:967

442:2x 13x 17

905:5x 181

497:7x 71

208:2x 2x 2x 2x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 39986836445920/(1x26)

LCM = 39986836445920/26

LCM = 1537955247920

Thus, we can understand that the LCM of 967,442,905,497,208 is 1537955247920.

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

• LCM of 795, 159, 727, 822, 511
• LCM of 695, 732, 118, 552, 373
• LCM of 982, 658, 950, 649, 141
• LCM of 110, 712, 575, 731, 315
• LCM of 329, 456, 281, 485, 418

1. What is the LCM of 967, 442, 905, 497, 208?

Answer: LCM of 967, 442, 905, 497, 208 is 1537955247920.

2. How to calculate the LCM of 967, 442, 905, 497, 208?

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 967, 442, 905, 497, 208.

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}.