Given numbers are 742,195,377,435,696

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

The LCM of 742,195,377,435,696 is 16784040.

Find LCM of 742,195,377,435,696 with Prime Factorization

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

2 x 3 x 5 x 13 x 29 x 371 x 1 x 1 x 1 x 4 = 16784040

Therefore, the lowest common multiple of 742,195,377,435,696 is 16784040.

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.

742 x 195 x 377 x 435 x 696 = 16514991838800

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.

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

195 : 1, 3, 5, 13, 15, 39, 65, 195

377 : 1, 13, 29, 377

435 : 1, 3, 5, 15, 29, 87, 145, 435

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,195,377,435,696, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

195:3x 5x 13

377:13x 29

435:3x 5x 29

696:2x 2x 2x 3x 29

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 5x 13x 29x 29 = 983970

Therefore, the value for common factors is 983970.

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 = 16514991838800/(1x983970)

LCM = 16514991838800/983970

LCM = 16784040

Thus, we can understand that the LCM of 742,195,377,435,696 is 16784040.

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

• LCM of 742, 629, 989, 319, 266
• LCM of 360, 949, 226, 856, 575
• LCM of 798, 693, 979, 468, 991
• LCM of 571, 464, 766, 394, 942
• LCM of 368, 485, 468, 962, 745

1. What is the LCM of 742, 195, 377, 435, 696?

Answer: LCM of 742, 195, 377, 435, 696 is 16784040.

2. How to calculate the LCM of 742, 195, 377, 435, 696?

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 742, 195, 377, 435, 696.

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}.