Given numbers are 742,512,677,379,119

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

The LCM of 742,512,677,379,119 is 828553718272.

Find LCM of 742,512,677,379,119 with Prime Factorization

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

2 x 7 x 53 x 256 x 677 x 379 x 17 = 828553718272

Therefore, the lowest common multiple of 742,512,677,379,119 is 828553718272.

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 512 x 677 x 379 x 119 = 11599752055808

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

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

677 : 1, 677

379 : 1, 379

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,512,677,379,119, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

512:2x 2x 2x 2x 2x 2x 2x 2x 2

677:677

379:379

119:7x 17

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 11599752055808/(1x14)

LCM = 11599752055808/14

LCM = 828553718272

Thus, we can understand that the LCM of 742,512,677,379,119 is 828553718272.

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

• LCM of 848, 339, 877, 443, 192
• LCM of 301, 421, 550, 147, 168
• LCM of 855, 405, 662, 259, 606
• LCM of 556, 238, 395, 876, 396
• LCM of 580, 362, 707, 631, 308

1. What is the LCM of 742, 512, 677, 379, 119?

Answer: LCM of 742, 512, 677, 379, 119 is 828553718272.

2. How to calculate the LCM of 742, 512, 677, 379, 119?

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, 512, 677, 379, 119.

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}.