Given numbers are 378,696,762,890

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

The LCM of 378,696,762,890 is 2478069720.

Find LCM of 378,696,762,890 with Prime Factorization

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

2 x 3 x 63 x 116 x 127 x 445 = 2478069720

Therefore, the lowest common multiple of 378,696,762,890 is 2478069720.

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 696 x 762 x 890 = 178421019840

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

762 : 1, 2, 3, 6, 127, 254, 381, 762

890 : 1, 2, 5, 10, 89, 178, 445, 890

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,696,762,890, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

696:2x 2x 2x 3x 29

762:2x 3x 127

890:2x 5x 89

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 178421019840/(2x36)

LCM = 178421019840/72

LCM = 2478069720

Thus, we can understand that the LCM of 378,696,762,890 is 2478069720.

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

• LCM of 373, 888, 767, 234
• LCM of 429, 417, 427, 670
• LCM of 571, 150, 946, 125
• LCM of 537, 832, 958, 182
• LCM of 505, 476, 989, 984

1. What is the LCM of 378, 696, 762, 890?

Answer: LCM of 378, 696, 762, 890 is 2478069720.

2. How to calculate the LCM of 378, 696, 762, 890?

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, 696, 762, 890.

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}.