Given numbers are 378,506,506,212,941

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

The LCM of 378,506,506,212,941 is 9539108964.

Find LCM of 378,506,506,212,941 with Prime Factorization

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

2 x 11 x 23 x 189 x 1 x 1 x 106 x 941 = 9539108964

Therefore, the lowest common multiple of 378,506,506,212,941 is 9539108964.

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.

378 x 506 x 506 x 212 x 941 = 19307156543136

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

506 : 1, 2, 11, 22, 23, 46, 253, 506

506 : 1, 2, 11, 22, 23, 46, 253, 506

212 : 1, 2, 4, 53, 106, 212

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,506,506,212,941, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

506:2x 11x 23

506:2x 11x 23

212:2x 2x 53

941:941

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 11x 23 = 2024

Therefore, the value for common factors is 2024.

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 = 19307156543136/(1x2024)

LCM = 19307156543136/2024

LCM = 9539108964

Thus, we can understand that the LCM of 378,506,506,212,941 is 9539108964.

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

• LCM of 107, 977, 126, 385, 980
• LCM of 200, 986, 297, 749, 476
• LCM of 197, 572, 152, 451, 519
• LCM of 838, 412, 699, 931, 263
• LCM of 698, 987, 607, 244, 814

1. What is the LCM of 378, 506, 506, 212, 941?

Answer: LCM of 378, 506, 506, 212, 941 is 9539108964.

2. How to calculate the LCM of 378, 506, 506, 212, 941?

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 378, 506, 506, 212, 941.

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}.