Given numbers are 378,834,420,764,812

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

The LCM of 378,834,420,764,812 is 2910301380.

Find LCM of 378,834,420,764,812 with Prime Factorization

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

2 x 2 x 3 x 7 x 9 x 139 x 5 x 191 x 29 = 2910301380

Therefore, the lowest common multiple of 378,834,420,764,812 is 2910301380.

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 834 x 420 x 764 x 812 = 82140346149120

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

834 : 1, 2, 3, 6, 139, 278, 417, 834

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

764 : 1, 2, 4, 191, 382, 764

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,834,420,764,812, is 2.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

834:2x 3x 139

420:2x 2x 3x 5x 7

764:2x 2x 191

812:2x 2x 7x 29

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 3x 3x 7x 7 = 14112

Therefore, the value for common factors is 14112.

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 = 82140346149120/(2x14112)

LCM = 82140346149120/28224

LCM = 2910301380

Thus, we can understand that the LCM of 378,834,420,764,812 is 2910301380.

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

• LCM of 137, 107, 575, 100, 741
• LCM of 702, 924, 698, 480, 416
• LCM of 370, 796, 526, 880, 140
• LCM of 830, 127, 371, 183, 942
• LCM of 639, 530, 305, 862, 292

1. What is the LCM of 378, 834, 420, 764, 812?

Answer: LCM of 378, 834, 420, 764, 812 is 2910301380.

2. How to calculate the LCM of 378, 834, 420, 764, 812?

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, 834, 420, 764, 812.

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}.