Given numbers are 577,406,312,315,374

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

The LCM of 577,406,312,315,374 is 102508365960.

Find LCM of 577,406,312,315,374 with Prime Factorization

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

2 x 3 x 7 x 577 x 29 x 52 x 15 x 187 = 102508365960

Therefore, the lowest common multiple of 577,406,312,315,374 is 102508365960.

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.

577 x 406 x 312 x 315 x 374 = 8610702740640

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.

577 : 1, 577

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,406,312,315,374, is 1.

Now, the common factors can be found like this.

577:577

406:2x 7x 29

312:2x 2x 2x 3x 13

315:3x 3x 5x 7

374:2x 11x 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 2x 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 8610702740640/(1x84)

LCM = 8610702740640/84

LCM = 102508365960

Thus, we can understand that the LCM of 577,406,312,315,374 is 102508365960.

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

• LCM of 488, 856, 569, 900, 931
• LCM of 601, 389, 940, 650, 136
• LCM of 384, 213, 688, 988, 655
• LCM of 919, 198, 944, 552, 132
• LCM of 329, 765, 100, 789, 805

1. What is the LCM of 577, 406, 312, 315, 374?

Answer: LCM of 577, 406, 312, 315, 374 is 102508365960.

2. How to calculate the LCM of 577, 406, 312, 315, 374?

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 577, 406, 312, 315, 374.

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}.