Given numbers are 974,777,425,624,882

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

The LCM of 974,777,425,624,882 is 702459903600.

Find LCM of 974,777,425,624,882 with Prime Factorization

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

2 x 3 x 7 x 487 x 37 x 425 x 104 x 21 = 702459903600

Therefore, the lowest common multiple of 974,777,425,624,882 is 702459903600.

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.

974 x 777 x 425 x 624 x 882 = 177019895707200

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.

974 : 1, 2, 487, 974

777 : 1, 3, 7, 21, 37, 111, 259, 777

425 : 1, 5, 17, 25, 85, 425

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,777,425,624,882, is 1.

Now, the common factors can be found like this.

974:2x 487

777:3x 7x 37

425:5x 5x 17

624:2x 2x 2x 2x 3x 13

882:2x 3x 3x 7x 7

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 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 177019895707200/(1x252)

LCM = 177019895707200/252

LCM = 702459903600

Thus, we can understand that the LCM of 974,777,425,624,882 is 702459903600.

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

• LCM of 387, 973, 526, 367, 413
• LCM of 236, 901, 842, 839, 203
• LCM of 276, 395, 221, 720, 614
• LCM of 904, 403, 767, 735, 710
• LCM of 861, 836, 106, 862, 360

1. What is the LCM of 974, 777, 425, 624, 882?

Answer: LCM of 974, 777, 425, 624, 882 is 702459903600.

2. How to calculate the LCM of 974, 777, 425, 624, 882?

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 974, 777, 425, 624, 882.

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}.