Given numbers are 365,214,684,762

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

The LCM of 365,214,684,762 is 3392629740.

Find LCM of 365,214,684,762 with Prime Factorization

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

2 x 3 x 365 x 107 x 114 x 127 = 3392629740

Therefore, the lowest common multiple of 365,214,684,762 is 3392629740.

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.

365 x 214 x 684 x 762 = 40711556880

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.

365 : 1, 5, 73, 365

214 : 1, 2, 107, 214

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,214,684,762, is 1.

Now, the common factors can be found like this.

365:5x 73

214:2x 107

684:2x 2x 3x 3x 19

762:2x 3x 127

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 3 = 12

Therefore, the value for common factors is 12.

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 = 40711556880/(1x12)

LCM = 40711556880/12

LCM = 3392629740

Thus, we can understand that the LCM of 365,214,684,762 is 3392629740.

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

• LCM of 713, 337, 993, 719
• LCM of 525, 291, 635, 225
• LCM of 915, 706, 669, 736
• LCM of 183, 499, 445, 707
• LCM of 339, 643, 996, 139

1. What is the LCM of 365, 214, 684, 762?

Answer: LCM of 365, 214, 684, 762 is 3392629740.

2. How to calculate the LCM of 365, 214, 684, 762?

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 365, 214, 684, 762.

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}.