Given numbers are 251,509,704,438,994

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

The LCM of 251,509,704,438,994 is 9789593677248.

Find LCM of 251,509,704,438,994 with Prime Factorization

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

2 x 251 x 509 x 352 x 219 x 497 = 9789593677248

Therefore, the lowest common multiple of 251,509,704,438,994 is 9789593677248.

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.

251 x 509 x 704 x 438 x 994 = 39158374708992

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.

251 : 1, 251

509 : 1, 509

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,509,704,438,994, is 1.

Now, the common factors can be found like this.

251:251

509:509

704:2x 2x 2x 2x 2x 2x 11

438:2x 3x 73

994:2x 7x 71

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 = 39158374708992/(1x4)

LCM = 39158374708992/4

LCM = 9789593677248

Thus, we can understand that the LCM of 251,509,704,438,994 is 9789593677248.

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

• LCM of 320, 657, 917, 951, 537
• LCM of 491, 739, 436, 250, 618
• LCM of 624, 332, 194, 271, 106
• LCM of 823, 447, 718, 620, 595
• LCM of 429, 230, 896, 204, 290

1. What is the LCM of 251, 509, 704, 438, 994?

Answer: LCM of 251, 509, 704, 438, 994 is 9789593677248.

2. How to calculate the LCM of 251, 509, 704, 438, 994?

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 251, 509, 704, 438, 994.

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}.