Given numbers are 110,674,624,910,974

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

The LCM of 110,674,624,910,974 is 39427948560.

Find LCM of 110,674,624,910,974 with Prime Factorization

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

2 x 5 x 13 x 11 x 337 x 24 x 7 x 487 = 39427948560

Therefore, the lowest common multiple of 110,674,624,910,974 is 39427948560.

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.

110 x 674 x 624 x 910 x 974 = 41005066502400

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

674 : 1, 2, 337, 674

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,674,624,910,974, is 2.

Now, the common factors can be found like this.

110:2x 5x 11

674:2x 337

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

910:2x 5x 7x 13

974:2x 487

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 5x 13 = 520

Therefore, the value for common factors is 520.

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 = 41005066502400/(2x520)

LCM = 41005066502400/1040

LCM = 39427948560

Thus, we can understand that the LCM of 110,674,624,910,974 is 39427948560.

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

• LCM of 594, 409, 632, 678, 604
• LCM of 170, 664, 722, 477, 948
• LCM of 464, 375, 552, 554, 492
• LCM of 190, 808, 914, 428, 212
• LCM of 694, 154, 109, 989, 344

1. What is the LCM of 110, 674, 624, 910, 974?

Answer: LCM of 110, 674, 624, 910, 974 is 39427948560.

2. How to calculate the LCM of 110, 674, 624, 910, 974?

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 110, 674, 624, 910, 974.

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}.