Given numbers are 318,260,354,741,474

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

The LCM of 318,260,354,741,474 is 3661029060.

Find LCM of 318,260,354,741,474 with Prime Factorization

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

2 x 3 x 13 x 53 x 10 x 59 x 19 x 79 = 3661029060

Therefore, the lowest common multiple of 318,260,354,741,474 is 3661029060.

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.

318 x 260 x 354 x 741 x 474 = 10280169600480

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,260,354,741,474, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

260:2x 2x 5x 13

354:2x 3x 59

741:3x 13x 19

474:2x 3x 79

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 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 10280169600480/(1x2808)

LCM = 10280169600480/2808

LCM = 3661029060

Thus, we can understand that the LCM of 318,260,354,741,474 is 3661029060.

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

• LCM of 144, 591, 150, 213, 232
• LCM of 321, 190, 152, 577, 128
• LCM of 295, 212, 392, 165, 182
• LCM of 155, 361, 963, 703, 570
• LCM of 991, 319, 815, 825, 557

1. What is the LCM of 318, 260, 354, 741, 474?

Answer: LCM of 318, 260, 354, 741, 474 is 3661029060.

2. How to calculate the LCM of 318, 260, 354, 741, 474?

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 318, 260, 354, 741, 474.

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}.