Given numbers are 338,214,269,535

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

The LCM of 338,214,269,535 is 48643270.

Find LCM of 338,214,269,535 with Prime Factorization

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

2 x 107 x 169 x 1 x 269 x 5 = 48643270

Therefore, the lowest common multiple of 338,214,269,535 is 48643270.

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.

338 x 214 x 269 x 535 = 10409659780

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.

338 : 1, 2, 13, 26, 169, 338

214 : 1, 2, 107, 214

269 : 1, 269

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,214,269,535, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

214:2x 107

269:269

535:5x 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 107 = 214

Therefore, the value for common factors is 214.

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 = 10409659780/(1x214)

LCM = 10409659780/214

LCM = 48643270

Thus, we can understand that the LCM of 338,214,269,535 is 48643270.

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

• LCM of 678, 373, 843, 864
• LCM of 211, 746, 649, 820
• LCM of 822, 990, 842, 995
• LCM of 835, 185, 818, 429
• LCM of 838, 983, 582, 232

1. What is the LCM of 338, 214, 269, 535?

Answer: LCM of 338, 214, 269, 535 is 48643270.

2. How to calculate the LCM of 338, 214, 269, 535?

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 338, 214, 269, 535.

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}.