Given numbers are 106,749,442,974

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

The LCM of 106,749,442,974 is 8544938038.

Find LCM of 106,749,442,974 with Prime Factorization

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

2 x 53 x 749 x 221 x 487 = 8544938038

Therefore, the lowest common multiple of 106,749,442,974 is 8544938038.

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.

106 x 749 x 442 x 974 = 34179752152

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.

106 : 1, 2, 53, 106

749 : 1, 7, 107, 749

442 : 1, 2, 13, 17, 26, 34, 221, 442

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,749,442,974, is 1.

Now, the common factors can be found like this.

106:2x 53

749:7x 107

442:2x 13x 17

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 2 = 4

Therefore, the value for common factors is 4.

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 = 34179752152/(1x4)

LCM = 34179752152/4

LCM = 8544938038

Thus, we can understand that the LCM of 106,749,442,974 is 8544938038.

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

• LCM of 334, 314, 738, 439
• LCM of 410, 704, 865, 818
• LCM of 417, 423, 121, 224
• LCM of 292, 514, 617, 702
• LCM of 115, 968, 969, 458

1. What is the LCM of 106, 749, 442, 974?

Answer: LCM of 106, 749, 442, 974 is 8544938038.

2. How to calculate the LCM of 106, 749, 442, 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 106, 749, 442, 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}.