Given numbers are 976,737,735,741,321

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

The LCM of 976,737,735,741,321 is 13972862183280.

Find LCM of 976,737,735,741,321 with Prime Factorization

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

3 x 976 x 737 x 245 x 247 x 107 = 13972862183280

Therefore, the lowest common multiple of 976,737,735,741,321 is 13972862183280.

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.

976 x 737 x 735 x 741 x 321 = 125755759649520

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

737 : 1, 11, 67, 737

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

741 : 1, 3, 13, 19, 39, 57, 247, 741

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,737,735,741,321, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

737:11x 67

735:3x 5x 7x 7

741:3x 13x 19

321:3x 107

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 125755759649520/(1x9)

LCM = 125755759649520/9

LCM = 13972862183280

Thus, we can understand that the LCM of 976,737,735,741,321 is 13972862183280.

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

• LCM of 915, 312, 861, 624, 572
• LCM of 818, 826, 679, 363, 401
• LCM of 673, 286, 766, 854, 958
• LCM of 501, 783, 588, 726, 180
• LCM of 691, 466, 697, 300, 140

1. What is the LCM of 976, 737, 735, 741, 321?

Answer: LCM of 976, 737, 735, 741, 321 is 13972862183280.

2. How to calculate the LCM of 976, 737, 735, 741, 321?

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 976, 737, 735, 741, 321.

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}.