Given numbers are 739,226,840,312,528

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

The LCM of 739,226,840,312,528 is 20061721680.

Find LCM of 739,226,840,312,528 with Prime Factorization

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

2 x 2 x 2 x 3 x 739 x 113 x 35 x 13 x 22 = 20061721680

Therefore, the lowest common multiple of 739,226,840,312,528 is 20061721680.

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.

739 x 226 x 840 x 312 x 528 = 23111103375360

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.

739 : 1, 739

226 : 1, 2, 113, 226

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,226,840,312,528, is 1.

Now, the common factors can be found like this.

739:739

226:2x 113

840:2x 2x 2x 3x 5x 7

312:2x 2x 2x 3x 13

528:2x 2x 2x 2x 3x 11

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 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 23111103375360/(1x1152)

LCM = 23111103375360/1152

LCM = 20061721680

Thus, we can understand that the LCM of 739,226,840,312,528 is 20061721680.

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

• LCM of 993, 422, 441, 632, 413
• LCM of 345, 833, 700, 671, 198
• LCM of 913, 874, 562, 422, 529
• LCM of 599, 111, 682, 147, 485
• LCM of 410, 892, 854, 821, 391

1. What is the LCM of 739, 226, 840, 312, 528?

Answer: LCM of 739, 226, 840, 312, 528 is 20061721680.

2. How to calculate the LCM of 739, 226, 840, 312, 528?

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 739, 226, 840, 312, 528.

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}.