Given numbers are 504,496,938,125,349

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

The LCM of 504,496,938,125,349 is 91333998000.

Find LCM of 504,496,938,125,349 with Prime Factorization

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

2 x 2 x 2 x 7 x 9 x 62 x 67 x 125 x 349 = 91333998000

Therefore, the lowest common multiple of 504,496,938,125,349 is 91333998000.

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.

504 x 496 x 938 x 125 x 349 = 10229407776000

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

938 : 1, 2, 7, 14, 67, 134, 469, 938

125 : 1, 5, 25, 125

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,496,938,125,349, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

496:2x 2x 2x 2x 31

938:2x 7x 67

125:5x 5x 5

349:349

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 10229407776000/(1x112)

LCM = 10229407776000/112

LCM = 91333998000

Thus, we can understand that the LCM of 504,496,938,125,349 is 91333998000.

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

• LCM of 544, 479, 213, 282, 652
• LCM of 438, 325, 946, 123, 987
• LCM of 398, 998, 520, 481, 466
• LCM of 420, 225, 921, 548, 599
• LCM of 976, 328, 125, 517, 327

1. What is the LCM of 504, 496, 938, 125, 349?

Answer: LCM of 504, 496, 938, 125, 349 is 91333998000.

2. How to calculate the LCM of 504, 496, 938, 125, 349?

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 504, 496, 938, 125, 349.

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}.