Given numbers are 824,526,528,420,846

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

The LCM of 824,526,528,420,846 is 70585265520.

Find LCM of 824,526,528,420,846 with Prime Factorization

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

2 x 2 x 2 x 3 x 103 x 263 x 22 x 35 x 141 = 70585265520

Therefore, the lowest common multiple of 824,526,528,420,846 is 70585265520.

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.

824 x 526 x 528 x 420 x 846 = 81314225879040

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

526 : 1, 2, 263, 526

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,526,528,420,846, is 2.

Now, the common factors can be found like this.

824:2x 2x 2x 103

526:2x 263

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

420:2x 2x 3x 5x 7

846:2x 3x 3x 47

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 3 = 576

Therefore, the value for common factors is 576.

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 = 81314225879040/(2x576)

LCM = 81314225879040/1152

LCM = 70585265520

Thus, we can understand that the LCM of 824,526,528,420,846 is 70585265520.

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

• LCM of 388, 519, 862, 909, 904
• LCM of 112, 614, 231, 962, 371
• LCM of 204, 277, 485, 738, 780
• LCM of 697, 762, 103, 997, 502
• LCM of 546, 437, 115, 173, 690

1. What is the LCM of 824, 526, 528, 420, 846?

Answer: LCM of 824, 526, 528, 420, 846 is 70585265520.

2. How to calculate the LCM of 824, 526, 528, 420, 846?

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 824, 526, 528, 420, 846.

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}.