Given numbers are 676,104,972,742,693

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

The LCM of 676,104,972,742,693 is 1340755416.

Find LCM of 676,104,972,742,693 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 13 x 13 x 2 x 27 x 53 x 11 = 1340755416

Therefore, the lowest common multiple of 676,104,972,742,693 is 1340755416.

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.

676 x 104 x 972 x 742 x 693 = 35138517942528

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

742 : 1, 2, 7, 14, 53, 106, 371, 742

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,104,972,742,693, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

104:2x 2x 2x 13

972:2x 2x 3x 3x 3x 3x 3

742:2x 7x 53

693:3x 3x 7x 11

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 3x 3x 7x 13 = 26208

Therefore, the value for common factors is 26208.

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 = 35138517942528/(1x26208)

LCM = 35138517942528/26208

LCM = 1340755416

Thus, we can understand that the LCM of 676,104,972,742,693 is 1340755416.

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

• LCM of 873, 153, 200, 836, 386
• LCM of 583, 913, 968, 844, 187
• LCM of 562, 726, 664, 778, 950
• LCM of 833, 432, 505, 799, 133
• LCM of 334, 618, 763, 787, 291

1. What is the LCM of 676, 104, 972, 742, 693?

Answer: LCM of 676, 104, 972, 742, 693 is 1340755416.

2. How to calculate the LCM of 676, 104, 972, 742, 693?

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 676, 104, 972, 742, 693.

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}.