Given numbers are 223,121,429,182,493

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

The LCM of 223,121,429,182,493 is 7263229974.

Find LCM of 223,121,429,182,493 with Prime Factorization

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

11 x 13 x 223 x 11 x 3 x 14 x 493 = 7263229974

Therefore, the lowest common multiple of 223,121,429,182,493 is 7263229974.

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.

223 x 121 x 429 x 182 x 493 = 1038641886282

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.

223 : 1, 223

121 : 1, 11, 121

429 : 1, 3, 11, 13, 33, 39, 143, 429

182 : 1, 2, 7, 13, 14, 26, 91, 182

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,121,429,182,493, is 1.

Now, the common factors can be found like this.

223:223

121:11x 11

429:3x 11x 13

182:2x 7x 13

493:17x 29

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 1038641886282/(1x143)

LCM = 1038641886282/143

LCM = 7263229974

Thus, we can understand that the LCM of 223,121,429,182,493 is 7263229974.

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

• LCM of 852, 579, 991, 195, 860
• LCM of 471, 166, 139, 370, 300
• LCM of 784, 387, 315, 792, 893
• LCM of 824, 706, 812, 548, 954
• LCM of 778, 341, 903, 509, 597

1. What is the LCM of 223, 121, 429, 182, 493?

Answer: LCM of 223, 121, 429, 182, 493 is 7263229974.

2. How to calculate the LCM of 223, 121, 429, 182, 493?

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 223, 121, 429, 182, 493.

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}.