Given numbers are 523,624,276,470,706

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

The LCM of 523,624,276,470,706 is 622668193680.

Find LCM of 523,624,276,470,706 with Prime Factorization

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

2 x 2 x 3 x 523 x 52 x 23 x 235 x 353 = 622668193680

Therefore, the lowest common multiple of 523,624,276,470,706 is 622668193680.

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.

523 x 624 x 276 x 470 x 706 = 29888073296640

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.

523 : 1, 523

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

470 : 1, 2, 5, 10, 47, 94, 235, 470

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,624,276,470,706, is 1.

Now, the common factors can be found like this.

523:523

624:2x 2x 2x 2x 3x 13

276:2x 2x 3x 23

470:2x 5x 47

706:2x 353

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 3 = 48

Therefore, the value for common factors is 48.

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 = 29888073296640/(1x48)

LCM = 29888073296640/48

LCM = 622668193680

Thus, we can understand that the LCM of 523,624,276,470,706 is 622668193680.

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

• LCM of 158, 842, 782, 983, 696
• LCM of 207, 800, 516, 671, 354
• LCM of 679, 721, 301, 825, 937
• LCM of 368, 597, 136, 316, 217
• LCM of 824, 918, 783, 543, 464

1. What is the LCM of 523, 624, 276, 470, 706?

Answer: LCM of 523, 624, 276, 470, 706 is 622668193680.

2. How to calculate the LCM of 523, 624, 276, 470, 706?

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 523, 624, 276, 470, 706.

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}.