Given numbers are 762,226,354,774,312

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

The LCM of 762,226,354,774,312 is 34078343832.

Find LCM of 762,226,354,774,312 with Prime Factorization

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

2 x 3 x 127 x 113 x 59 x 129 x 52 = 34078343832

Therefore, the lowest common multiple of 762,226,354,774,312 is 34078343832.

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.

762 x 226 x 354 x 774 x 312 = 14721844535424

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.

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

226 : 1, 2, 113, 226

354 : 1, 2, 3, 6, 59, 118, 177, 354

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,226,354,774,312, is 2.

Now, the common factors can be found like this.

762:2x 3x 127

226:2x 113

354:2x 3x 59

774:2x 3x 3x 43

312:2x 2x 2x 3x 13

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 14721844535424/(2x216)

LCM = 14721844535424/432

LCM = 34078343832

Thus, we can understand that the LCM of 762,226,354,774,312 is 34078343832.

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

• LCM of 160, 258, 784, 896, 156
• LCM of 527, 553, 276, 755, 110
• LCM of 919, 667, 791, 888, 376
• LCM of 255, 839, 591, 862, 637
• LCM of 780, 388, 192, 313, 870

1. What is the LCM of 762, 226, 354, 774, 312?

Answer: LCM of 762, 226, 354, 774, 312 is 34078343832.

2. How to calculate the LCM of 762, 226, 354, 774, 312?

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 762, 226, 354, 774, 312.

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}.