Given numbers are 340,506,544,569,153

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

The LCM of 340,506,544,569,153 is 3524067360.

Find LCM of 340,506,544,569,153 with Prime Factorization

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

2 x 2 x 17 x 5 x 253 x 8 x 569 x 9 = 3524067360

Therefore, the lowest common multiple of 340,506,544,569,153 is 3524067360.

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 506 x 544 x 569 x 153 = 8147643736320

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

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

569 : 1, 569

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,506,544,569,153, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

506:2x 11x 23

544:2x 2x 2x 2x 2x 17

569:569

153:3x 3x 17

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 17x 17 = 2312

Therefore, the value for common factors is 2312.

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 = 8147643736320/(1x2312)

LCM = 8147643736320/2312

LCM = 3524067360

Thus, we can understand that the LCM of 340,506,544,569,153 is 3524067360.

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

• LCM of 817, 679, 136, 119, 557
• LCM of 910, 991, 636, 345, 439
• LCM of 216, 450, 509, 779, 888
• LCM of 554, 697, 656, 840, 355
• LCM of 380, 708, 500, 656, 515

1. What is the LCM of 340, 506, 544, 569, 153?

Answer: LCM of 340, 506, 544, 569, 153 is 3524067360.

2. How to calculate the LCM of 340, 506, 544, 569, 153?

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, 506, 544, 569, 153.

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}.