Given numbers are 770,360,914,210

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

The LCM of 770,360,914,210 is 12668040.

Find LCM of 770,360,914,210 with Prime Factorization

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

2 x 3 x 5 x 7 x 11 x 12 x 457 x 1 = 12668040

Therefore, the lowest common multiple of 770,360,914,210 is 12668040.

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.

770 x 360 x 914 x 210 = 53205768000

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.

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

914 : 1, 2, 457, 914

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,360,914,210, is 2.

Now, the common factors can be found like this.

770:2x 5x 7x 11

360:2x 2x 2x 3x 3x 5

914:2x 457

210:2x 3x 5x 7

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 5x 5x 7 = 2100

Therefore, the value for common factors is 2100.

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 = 53205768000/(2x2100)

LCM = 53205768000/4200

LCM = 12668040

Thus, we can understand that the LCM of 770,360,914,210 is 12668040.

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

• LCM of 615, 708, 858, 741
• LCM of 668, 210, 168, 812
• LCM of 118, 861, 225, 116
• LCM of 481, 256, 169, 671
• LCM of 823, 595, 413, 997

1. What is the LCM of 770, 360, 914, 210?

Answer: LCM of 770, 360, 914, 210 is 12668040.

2. How to calculate the LCM of 770, 360, 914, 210?

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 770, 360, 914, 210.

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}.