Given numbers are 309,247,514,258

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

The LCM of 309,247,514,258 is 1686890946.

Find LCM of 309,247,514,258 with Prime Factorization

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

2 x 3 x 103 x 247 x 257 x 43 = 1686890946

Therefore, the lowest common multiple of 309,247,514,258 is 1686890946.

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.

309 x 247 x 514 x 258 = 10121345676

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.

309 : 1, 3, 103, 309

247 : 1, 13, 19, 247

514 : 1, 2, 257, 514

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,247,514,258, is 1.

Now, the common factors can be found like this.

309:3x 103

247:13x 19

514:2x 257

258:2x 3x 43

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 10121345676/(1x6)

LCM = 10121345676/6

LCM = 1686890946

Thus, we can understand that the LCM of 309,247,514,258 is 1686890946.

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

• LCM of 138, 833, 616, 659
• LCM of 673, 572, 561, 169
• LCM of 497, 406, 438, 852
• LCM of 597, 858, 331, 558
• LCM of 249, 759, 248, 949

1. What is the LCM of 309, 247, 514, 258?

Answer: LCM of 309, 247, 514, 258 is 1686890946.

2. How to calculate the LCM of 309, 247, 514, 258?

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 309, 247, 514, 258.

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}.