Given numbers are 749,248,950,288

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

The LCM of 749,248,950,288 is 3176359200.

Find LCM of 749,248,950,288 with Prime Factorization

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

2 x 2 x 2 x 749 x 31 x 475 x 36 = 3176359200

Therefore, the lowest common multiple of 749,248,950,288 is 3176359200.

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.

749 x 248 x 950 x 288 = 50821747200

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.

749 : 1, 7, 107, 749

248 : 1, 2, 4, 8, 31, 62, 124, 248

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,248,950,288, is 1.

Now, the common factors can be found like this.

749:7x 107

248:2x 2x 2x 31

950:2x 5x 5x 19

288:2x 2x 2x 2x 2x 3x 3

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 50821747200/(1x16)

LCM = 50821747200/16

LCM = 3176359200

Thus, we can understand that the LCM of 749,248,950,288 is 3176359200.

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

• LCM of 818, 857, 272, 449
• LCM of 354, 102, 314, 387
• LCM of 348, 314, 319, 441
• LCM of 511, 610, 259, 173
• LCM of 962, 728, 799, 462

1. What is the LCM of 749, 248, 950, 288?

Answer: LCM of 749, 248, 950, 288 is 3176359200.

2. How to calculate the LCM of 749, 248, 950, 288?

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 749, 248, 950, 288.

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}.