Given numbers are 714,121,433,834,912

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

The LCM of 714,121,433,834,912 is 790368943056.

Find LCM of 714,121,433,834,912 with Prime Factorization

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

2 x 3 x 119 x 121 x 433 x 139 x 152 = 790368943056

Therefore, the lowest common multiple of 714,121,433,834,912 is 790368943056.

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.

714 x 121 x 433 x 834 x 912 = 28453281950016

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

121 : 1, 11, 121

433 : 1, 433

834 : 1, 2, 3, 6, 139, 278, 417, 834

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,121,433,834,912, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

121:11x 11

433:433

834:2x 3x 139

912:2x 2x 2x 2x 3x 19

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 28453281950016/(1x36)

LCM = 28453281950016/36

LCM = 790368943056

Thus, we can understand that the LCM of 714,121,433,834,912 is 790368943056.

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

• LCM of 624, 466, 332, 662, 829
• LCM of 227, 848, 304, 435, 163
• LCM of 504, 842, 949, 734, 158
• LCM of 219, 783, 656, 391, 923
• LCM of 799, 985, 803, 359, 419

1. What is the LCM of 714, 121, 433, 834, 912?

Answer: LCM of 714, 121, 433, 834, 912 is 790368943056.

2. How to calculate the LCM of 714, 121, 433, 834, 912?

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 714, 121, 433, 834, 912.

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}.