Given numbers are 354,213,402,586

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

The LCM of 354,213,402,586 is 493405554.

Find LCM of 354,213,402,586 with Prime Factorization

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

2 x 3 x 59 x 71 x 67 x 293 = 493405554

Therefore, the lowest common multiple of 354,213,402,586 is 493405554.

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.

354 x 213 x 402 x 586 = 17762599944

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.

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

213 : 1, 3, 71, 213

402 : 1, 2, 3, 6, 67, 134, 201, 402

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,213,402,586, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

213:3x 71

402:2x 3x 67

586:2x 293

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 3 = 36

Therefore, the value for common factors is 36.

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 = 17762599944/(1x36)

LCM = 17762599944/36

LCM = 493405554

Thus, we can understand that the LCM of 354,213,402,586 is 493405554.

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

• LCM of 987, 795, 118, 348
• LCM of 921, 394, 910, 561
• LCM of 309, 925, 698, 181
• LCM of 933, 132, 232, 175
• LCM of 511, 319, 972, 433

1. What is the LCM of 354, 213, 402, 586?

Answer: LCM of 354, 213, 402, 586 is 493405554.

2. How to calculate the LCM of 354, 213, 402, 586?

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 354, 213, 402, 586.

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}.