Given numbers are 703,828,224,214

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

The LCM of 703,828,224,214 is 3487847328.

Find LCM of 703,828,224,214 with Prime Factorization

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

2 x 2 x 703 x 207 x 56 x 107 = 3487847328

Therefore, the lowest common multiple of 703,828,224,214 is 3487847328.

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.

703 x 828 x 224 x 214 = 27902778624

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.

703 : 1, 19, 37, 703

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,828,224,214, is 1.

Now, the common factors can be found like this.

703:19x 37

828:2x 2x 3x 3x 23

224:2x 2x 2x 2x 2x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 27902778624/(1x8)

LCM = 27902778624/8

LCM = 3487847328

Thus, we can understand that the LCM of 703,828,224,214 is 3487847328.

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

• LCM of 674, 381, 680, 398
• LCM of 205, 735, 217, 813
• LCM of 271, 255, 311, 693
• LCM of 956, 283, 968, 401
• LCM of 350, 929, 257, 578

1. What is the LCM of 703, 828, 224, 214?

Answer: LCM of 703, 828, 224, 214 is 3487847328.

2. How to calculate the LCM of 703, 828, 224, 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 703, 828, 224, 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}.