Given numbers are 414,840,528,526

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

The LCM of 414,840,528,526 is 335356560.

Find LCM of 414,840,528,526 with Prime Factorization

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

2 x 2 x 2 x 3 x 69 x 35 x 22 x 263 = 335356560

Therefore, the lowest common multiple of 414,840,528,526 is 335356560.

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.

414 x 840 x 528 x 526 = 96582689280

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

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

526 : 1, 2, 263, 526

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,840,528,526, is 2.

Now, the common factors can be found like this.

414:2x 3x 3x 23

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

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

526:2x 263

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 96582689280/(2x144)

LCM = 96582689280/288

LCM = 335356560

Thus, we can understand that the LCM of 414,840,528,526 is 335356560.

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

• LCM of 391, 310, 496, 823
• LCM of 174, 881, 447, 113
• LCM of 751, 781, 642, 807
• LCM of 676, 789, 262, 665
• LCM of 569, 425, 293, 168

1. What is the LCM of 414, 840, 528, 526?

Answer: LCM of 414, 840, 528, 526 is 335356560.

2. How to calculate the LCM of 414, 840, 528, 526?

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 414, 840, 528, 526.

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}.