Given numbers are 702,729,963,889,960

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

The LCM of 702,729,963,889,960 is 288473814720.

Find LCM of 702,729,963,889,960 with Prime Factorization

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

2 x 3 x 3 x 3 x 13 x 27 x 107 x 889 x 160 = 288473814720

Therefore, the lowest common multiple of 702,729,963,889,960 is 288473814720.

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.

702 x 729 x 963 x 889 x 960 = 420594821861760

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

729 : 1, 3, 9, 27, 81, 243, 729

963 : 1, 3, 9, 107, 321, 963

889 : 1, 7, 127, 889

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,729,963,889,960, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

729:3x 3x 3x 3x 3x 3

963:3x 3x 107

889:7x 127

960:2x 2x 2x 2x 2x 2x 3x 5

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

2x 3x 3x 3x 3x 3x 3 = 1458

Therefore, the value for common factors is 1458.

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 = 420594821861760/(1x1458)

LCM = 420594821861760/1458

LCM = 288473814720

Thus, we can understand that the LCM of 702,729,963,889,960 is 288473814720.

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

• LCM of 523, 352, 293, 473, 975
• LCM of 954, 344, 537, 692, 869
• LCM of 943, 454, 233, 755, 468
• LCM of 456, 466, 941, 949, 902
• LCM of 924, 911, 641, 387, 654

1. What is the LCM of 702, 729, 963, 889, 960?

Answer: LCM of 702, 729, 963, 889, 960 is 288473814720.

2. How to calculate the LCM of 702, 729, 963, 889, 960?

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 702, 729, 963, 889, 960.

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}.