Given numbers are 791,749,346,288

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

The LCM of 791,749,346,288 is 4216953888.

Find LCM of 791,749,346,288 with Prime Factorization

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

2 x 7 x 113 x 107 x 173 x 144 = 4216953888

Therefore, the lowest common multiple of 791,749,346,288 is 4216953888.

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.

791 x 749 x 346 x 288 = 59037354432

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.

791 : 1, 7, 113, 791

749 : 1, 7, 107, 749

346 : 1, 2, 173, 346

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 791,749,346,288, is 1.

Now, the common factors can be found like this.

791:7x 113

749:7x 107

346:2x 173

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 7 = 14

Therefore, the value for common factors is 14.

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 = 59037354432/(1x14)

LCM = 59037354432/14

LCM = 4216953888

Thus, we can understand that the LCM of 791,749,346,288 is 4216953888.

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

• LCM of 538, 184, 932, 766
• LCM of 854, 688, 354, 196
• LCM of 410, 223, 720, 842
• LCM of 382, 123, 523, 806
• LCM of 579, 886, 936, 580

1. What is the LCM of 791, 749, 346, 288?

Answer: LCM of 791, 749, 346, 288 is 4216953888.

2. How to calculate the LCM of 791, 749, 346, 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 791, 749, 346, 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}.