Given numbers are 504,546,749,611,374

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

The LCM of 504,546,749,611,374 is 6161651496.

Find LCM of 504,546,749,611,374 with Prime Factorization

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

2 x 3 x 7 x 13 x 12 x 1 x 107 x 47 x 187 = 6161651496

Therefore, the lowest common multiple of 504,546,749,611,374 is 6161651496.

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 546 x 749 x 611 x 374 = 47099664035424

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

749 : 1, 7, 107, 749

611 : 1, 13, 47, 611

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,546,749,611,374, is 1.

Now, the common factors can be found like this.

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

546:2x 3x 7x 13

749:7x 107

611:13x 47

374:2x 11x 17

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 3x 7x 7x 13 = 7644

Therefore, the value for common factors is 7644.

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 = 47099664035424/(1x7644)

LCM = 47099664035424/7644

LCM = 6161651496

Thus, we can understand that the LCM of 504,546,749,611,374 is 6161651496.

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

• LCM of 775, 836, 791, 577, 748
• LCM of 756, 932, 869, 452, 639
• LCM of 348, 819, 198, 966, 660
• LCM of 945, 901, 911, 768, 736
• LCM of 783, 668, 593, 970, 524

1. What is the LCM of 504, 546, 749, 611, 374?

Answer: LCM of 504, 546, 749, 611, 374 is 6161651496.

2. How to calculate the LCM of 504, 546, 749, 611, 374?

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, 546, 749, 611, 374.

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}.