Given numbers are 914,213,778,438

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

The LCM of 914,213,778,438 is 5528384754.

Find LCM of 914,213,778,438 with Prime Factorization

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

2 x 3 x 457 x 71 x 389 x 73 = 5528384754

Therefore, the lowest common multiple of 914,213,778,438 is 5528384754.

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.

914 x 213 x 778 x 438 = 66340617048

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.

914 : 1, 2, 457, 914

213 : 1, 3, 71, 213

778 : 1, 2, 389, 778

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,213,778,438, is 1.

Now, the common factors can be found like this.

914:2x 457

213:3x 71

778:2x 389

438:2x 3x 73

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 = 66340617048/(1x12)

LCM = 66340617048/12

LCM = 5528384754

Thus, we can understand that the LCM of 914,213,778,438 is 5528384754.

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

• LCM of 210, 800, 950, 632
• LCM of 925, 601, 493, 496
• LCM of 673, 856, 928, 314
• LCM of 273, 901, 874, 575
• LCM of 510, 445, 866, 115

1. What is the LCM of 914, 213, 778, 438?

Answer: LCM of 914, 213, 778, 438 is 5528384754.

2. How to calculate the LCM of 914, 213, 778, 438?

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 914, 213, 778, 438.

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}.