Given numbers are 307,509,514,252

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

The LCM of 307,509,514,252 is 10120216932.

Find LCM of 307,509,514,252 with Prime Factorization

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

2 x 307 x 509 x 257 x 126 = 10120216932

Therefore, the lowest common multiple of 307,509,514,252 is 10120216932.

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.

307 x 509 x 514 x 252 = 20240433864

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.

307 : 1, 307

509 : 1, 509

514 : 1, 2, 257, 514

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,509,514,252, is 1.

Now, the common factors can be found like this.

307:307

509:509

514:2x 257

252:2x 2x 3x 3x 7

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

2 = 2

Therefore, the value for common factors is 2.

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 = 20240433864/(1x2)

LCM = 20240433864/2

LCM = 10120216932

Thus, we can understand that the LCM of 307,509,514,252 is 10120216932.

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

• LCM of 631, 183, 271, 971
• LCM of 993, 698, 959, 129
• LCM of 954, 366, 802, 159
• LCM of 607, 235, 543, 864
• LCM of 862, 869, 980, 940

1. What is the LCM of 307, 509, 514, 252?

Answer: LCM of 307, 509, 514, 252 is 10120216932.

2. How to calculate the LCM of 307, 509, 514, 252?

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 307, 509, 514, 252.

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}.