Given numbers are 340,128,860,506,747

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

The LCM of 340,128,860,506,747 is 88417549440.

Find LCM of 340,128,860,506,747 with Prime Factorization

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

2 x 2 x 5 x 17 x 32 x 43 x 253 x 747 = 88417549440

Therefore, the lowest common multiple of 340,128,860,506,747 is 88417549440.

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.

340 x 128 x 860 x 506 x 747 = 14146807910400

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

128 : 1, 2, 4, 8, 16, 32, 64, 128

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

506 : 1, 2, 11, 22, 23, 46, 253, 506

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,128,860,506,747, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

128:2x 2x 2x 2x 2x 2x 2

860:2x 2x 5x 43

506:2x 11x 23

747:3x 3x 83

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 5 = 160

Therefore, the value for common factors is 160.

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 = 14146807910400/(1x160)

LCM = 14146807910400/160

LCM = 88417549440

Thus, we can understand that the LCM of 340,128,860,506,747 is 88417549440.

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

• LCM of 111, 433, 509, 110, 728
• LCM of 234, 256, 293, 935, 411
• LCM of 193, 723, 712, 832, 172
• LCM of 514, 617, 876, 398, 441
• LCM of 827, 793, 801, 980, 283

1. What is the LCM of 340, 128, 860, 506, 747?

Answer: LCM of 340, 128, 860, 506, 747 is 88417549440.

2. How to calculate the LCM of 340, 128, 860, 506, 747?

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 340, 128, 860, 506, 747.

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}.