Given numbers are 438,208,193,253

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

The LCM of 438,208,193,253 is 2224258608.

Find LCM of 438,208,193,253 with Prime Factorization

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

2 x 219 x 104 x 193 x 253 = 2224258608

Therefore, the lowest common multiple of 438,208,193,253 is 2224258608.

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.

438 x 208 x 193 x 253 = 4448517216

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.

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

193 : 1, 193

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,208,193,253, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

208:2x 2x 2x 2x 13

193:193

253:11x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4448517216/(1x2)

LCM = 4448517216/2

LCM = 2224258608

Thus, we can understand that the LCM of 438,208,193,253 is 2224258608.

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

• LCM of 414, 941, 128, 361
• LCM of 579, 883, 120, 249
• LCM of 602, 416, 969, 181
• LCM of 315, 721, 225, 492
• LCM of 385, 458, 930, 935

1. What is the LCM of 438, 208, 193, 253?

Answer: LCM of 438, 208, 193, 253 is 2224258608.

2. How to calculate the LCM of 438, 208, 193, 253?

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 438, 208, 193, 253.

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}.