Given numbers are 379,936,560,468,526

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

The LCM of 379,936,560,468,526 is 6530837040.

Find LCM of 379,936,560,468,526 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 379 x 1 x 70 x 1 x 263 = 6530837040

Therefore, the lowest common multiple of 379,936,560,468,526 is 6530837040.

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.

379 x 936 x 560 x 468 x 526 = 48902907755520

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.

379 : 1, 379

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

526 : 1, 2, 263, 526

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,936,560,468,526, is 1.

Now, the common factors can be found like this.

379:379

936:2x 2x 2x 3x 3x 13

560:2x 2x 2x 2x 5x 7

468:2x 2x 3x 3x 13

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 2x 2x 3x 3x 13 = 7488

Therefore, the value for common factors is 7488.

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 = 48902907755520/(1x7488)

LCM = 48902907755520/7488

LCM = 6530837040

Thus, we can understand that the LCM of 379,936,560,468,526 is 6530837040.

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

• LCM of 503, 583, 196, 790, 392
• LCM of 962, 230, 714, 533, 915
• LCM of 528, 113, 947, 760, 675
• LCM of 828, 111, 707, 127, 200
• LCM of 474, 741, 453, 702, 515

1. What is the LCM of 379, 936, 560, 468, 526?

Answer: LCM of 379, 936, 560, 468, 526 is 6530837040.

2. How to calculate the LCM of 379, 936, 560, 468, 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 379, 936, 560, 468, 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}.