Given numbers are 283,51,119,814

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

The LCM of 283,51,119,814 is 82239234.

Find LCM of 283,51,119,814 with Prime Factorization

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

17 x 283 x 3 x 7 x 814 = 82239234

Therefore, the lowest common multiple of 283,51,119,814 is 82239234.

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.

283 x 51 x 119 x 814 = 1398066978

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.

283 : 1, 283

51 : 1, 3, 17, 51

119 : 1, 7, 17, 119

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,51,119,814, is 1.

Now, the common factors can be found like this.

283:283

51:3x 17

119:7x 17

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17 = 17

Therefore, the value for common factors is 17.

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 = 1398066978/(1x17)

LCM = 1398066978/17

LCM = 82239234

Thus, we can understand that the LCM of 283,51,119,814 is 82239234.

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

• LCM of 488, 50, 587, 232
• LCM of 252, 86, 969, 915
• LCM of 211, 24, 804, 963
• LCM of 612, 76, 873, 341
• LCM of 725, 79, 294, 242

1. What is the LCM of 283, 51, 119, 814?

Answer: LCM of 283, 51, 119, 814 is 82239234.

2. How to calculate the LCM of 283, 51, 119, 814?

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 283, 51, 119, 814.

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}.