Given numbers are 338,461,883,156,524

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

The LCM of 338,461,883,156,524 is 108143613084.

Find LCM of 338,461,883,156,524 with Prime Factorization

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

2 x 2 x 13 x 13 x 461 x 883 x 3 x 131 = 108143613084

Therefore, the lowest common multiple of 338,461,883,156,524 is 108143613084.

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 461 x 883 x 156 x 524 = 11246935760736

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

461 : 1, 461

883 : 1, 883

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,461,883,156,524, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

461:461

883:883

156:2x 2x 3x 13

524:2x 2x 131

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 11246935760736/(1x104)

LCM = 11246935760736/104

LCM = 108143613084

Thus, we can understand that the LCM of 338,461,883,156,524 is 108143613084.

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

• LCM of 359, 606, 910, 408, 561
• LCM of 313, 599, 856, 829, 200
• LCM of 164, 957, 774, 114, 994
• LCM of 333, 274, 735, 187, 325
• LCM of 108, 667, 942, 814, 186

1. What is the LCM of 338, 461, 883, 156, 524?

Answer: LCM of 338, 461, 883, 156, 524 is 108143613084.

2. How to calculate the LCM of 338, 461, 883, 156, 524?

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, 461, 883, 156, 524.

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}.