Given numbers are 840,770,647,214

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

The LCM of 840,770,647,214 is 639675960.

Find LCM of 840,770,647,214 with Prime Factorization

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

2 x 5 x 7 x 12 x 11 x 647 x 107 = 639675960

Therefore, the lowest common multiple of 840,770,647,214 is 639675960.

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.

840 x 770 x 647 x 214 = 89554634400

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

647 : 1, 647

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,770,647,214, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

770:2x 5x 7x 11

647:647

214:2x 107

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 5x 7 = 140

Therefore, the value for common factors is 140.

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 = 89554634400/(1x140)

LCM = 89554634400/140

LCM = 639675960

Thus, we can understand that the LCM of 840,770,647,214 is 639675960.

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

• LCM of 616, 777, 969, 193
• LCM of 912, 711, 760, 298
• LCM of 216, 171, 247, 503
• LCM of 401, 458, 308, 306
• LCM of 159, 457, 416, 469

1. What is the LCM of 840, 770, 647, 214?

Answer: LCM of 840, 770, 647, 214 is 639675960.

2. How to calculate the LCM of 840, 770, 647, 214?

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 840, 770, 647, 214.

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}.