Given numbers are 377,177,412,440,762

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

The LCM of 377,177,412,440,762 is 384068101560.

Find LCM of 377,177,412,440,762 with Prime Factorization

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

2 x 2 x 3 x 377 x 59 x 103 x 110 x 127 = 384068101560

Therefore, the lowest common multiple of 377,177,412,440,762 is 384068101560.

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.

377 x 177 x 412 x 440 x 762 = 9217634437440

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.

377 : 1, 13, 29, 377

177 : 1, 3, 59, 177

412 : 1, 2, 4, 103, 206, 412

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,177,412,440,762, is 1.

Now, the common factors can be found like this.

377:13x 29

177:3x 59

412:2x 2x 103

440:2x 2x 2x 5x 11

762:2x 3x 127

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9217634437440/(1x24)

LCM = 9217634437440/24

LCM = 384068101560

Thus, we can understand that the LCM of 377,177,412,440,762 is 384068101560.

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

• LCM of 962, 149, 571, 171, 408
• LCM of 903, 129, 842, 862, 288
• LCM of 702, 686, 956, 399, 441
• LCM of 499, 632, 168, 325, 112
• LCM of 570, 454, 640, 237, 891

1. What is the LCM of 377, 177, 412, 440, 762?

Answer: LCM of 377, 177, 412, 440, 762 is 384068101560.

2. How to calculate the LCM of 377, 177, 412, 440, 762?

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 377, 177, 412, 440, 762.

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}.