Given numbers are 747,319,936,447,961

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

The LCM of 747,319,936,447,961 is 3548577383208.

Find LCM of 747,319,936,447,961 with Prime Factorization

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

3 x 3 x 83 x 319 x 104 x 149 x 961 = 3548577383208

Therefore, the lowest common multiple of 747,319,936,447,961 is 3548577383208.

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.

747 x 319 x 936 x 447 x 961 = 95811589346616

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.

747 : 1, 3, 9, 83, 249, 747

319 : 1, 11, 29, 319

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

447 : 1, 3, 149, 447

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,319,936,447,961, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

319:11x 29

936:2x 2x 2x 3x 3x 13

447:3x 149

961:31x 31

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 95811589346616/(1x27)

LCM = 95811589346616/27

LCM = 3548577383208

Thus, we can understand that the LCM of 747,319,936,447,961 is 3548577383208.

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

• LCM of 238, 428, 198, 820, 711
• LCM of 932, 924, 160, 560, 345
• LCM of 172, 118, 218, 453, 648
• LCM of 434, 290, 308, 363, 828
• LCM of 365, 832, 164, 736, 483

1. What is the LCM of 747, 319, 936, 447, 961?

Answer: LCM of 747, 319, 936, 447, 961 is 3548577383208.

2. How to calculate the LCM of 747, 319, 936, 447, 961?

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 747, 319, 936, 447, 961.

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}.