Given numbers are 232,774,600,471,756

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

The LCM of 232,774,600,471,756 is 7400446200.

Find LCM of 232,774,600,471,756 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 29 x 43 x 25 x 157 x 21 = 7400446200

Therefore, the lowest common multiple of 232,774,600,471,756 is 7400446200.

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.

232 x 774 x 600 x 471 x 756 = 38363913100800

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.

232 : 1, 2, 4, 8, 29, 58, 116, 232

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

471 : 1, 3, 157, 471

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,774,600,471,756, is 1.

Now, the common factors can be found like this.

232:2x 2x 2x 29

774:2x 3x 3x 43

600:2x 2x 2x 3x 5x 5

471:3x 157

756:2x 2x 3x 3x 3x 7

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 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 38363913100800/(1x5184)

LCM = 38363913100800/5184

LCM = 7400446200

Thus, we can understand that the LCM of 232,774,600,471,756 is 7400446200.

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

• LCM of 102, 719, 631, 292, 184
• LCM of 939, 501, 266, 412, 609
• LCM of 878, 647, 395, 767, 210
• LCM of 228, 356, 823, 876, 521
• LCM of 400, 405, 562, 906, 701

1. What is the LCM of 232, 774, 600, 471, 756?

Answer: LCM of 232, 774, 600, 471, 756 is 7400446200.

2. How to calculate the LCM of 232, 774, 600, 471, 756?

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 232, 774, 600, 471, 756.

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}.