Given numbers are 354,700,757,192,288

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

The LCM of 354,700,757,192,288 is 4502030400.

Find LCM of 354,700,757,192,288 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 59 x 175 x 757 x 2 x 3 = 4502030400

Therefore, the lowest common multiple of 354,700,757,192,288 is 4502030400.

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.

354 x 700 x 757 x 192 x 288 = 10372678041600

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

757 : 1, 757

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

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 354,700,757,192,288, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

700:2x 2x 5x 5x 7

757:757

192:2x 2x 2x 2x 2x 2x 3

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 2x 2x 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 10372678041600/(1x2304)

LCM = 10372678041600/2304

LCM = 4502030400

Thus, we can understand that the LCM of 354,700,757,192,288 is 4502030400.

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

• LCM of 274, 135, 317, 675, 493
• LCM of 811, 138, 385, 218, 511
• LCM of 687, 565, 547, 479, 443
• LCM of 178, 303, 131, 150, 137
• LCM of 945, 548, 516, 565, 274

1. What is the LCM of 354, 700, 757, 192, 288?

Answer: LCM of 354, 700, 757, 192, 288 is 4502030400.

2. How to calculate the LCM of 354, 700, 757, 192, 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 354, 700, 757, 192, 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}.