Given numbers are 358,271,438,514

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

The LCM of 358,271,438,514 is 5460464094.

Find LCM of 358,271,438,514 with Prime Factorization

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

2 x 179 x 271 x 219 x 257 = 5460464094

Therefore, the lowest common multiple of 358,271,438,514 is 5460464094.

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.

358 x 271 x 438 x 514 = 21841856376

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.

358 : 1, 2, 179, 358

271 : 1, 271

438 : 1, 2, 3, 6, 73, 146, 219, 438

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,271,438,514, is 1.

Now, the common factors can be found like this.

358:2x 179

271:271

438:2x 3x 73

514:2x 257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21841856376/(1x4)

LCM = 21841856376/4

LCM = 5460464094

Thus, we can understand that the LCM of 358,271,438,514 is 5460464094.

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

• LCM of 497, 183, 426, 406
• LCM of 996, 838, 786, 184
• LCM of 262, 797, 933, 288
• LCM of 289, 746, 190, 477
• LCM of 416, 846, 611, 714

1. What is the LCM of 358, 271, 438, 514?

Answer: LCM of 358, 271, 438, 514 is 5460464094.

2. How to calculate the LCM of 358, 271, 438, 514?

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 358, 271, 438, 514.

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}.