Given numbers are 748,371,424,614,106

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

The LCM of 748,371,424,614,106 is 170389912.

Find LCM of 748,371,424,614,106 with Prime Factorization

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

2 x 2 x 53 x 187 x 7 x 2 x 307 x 1 = 170389912

Therefore, the lowest common multiple of 748,371,424,614,106 is 170389912.

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.

748 x 371 x 424 x 614 x 106 = 7658004204928

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

371 : 1, 7, 53, 371

424 : 1, 2, 4, 8, 53, 106, 212, 424

614 : 1, 2, 307, 614

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,371,424,614,106, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

371:7x 53

424:2x 2x 2x 53

614:2x 307

106:2x 53

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 2x 53x 53 = 44944

Therefore, the value for common factors is 44944.

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 = 7658004204928/(1x44944)

LCM = 7658004204928/44944

LCM = 170389912

Thus, we can understand that the LCM of 748,371,424,614,106 is 170389912.

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

• LCM of 333, 225, 511, 129, 268
• LCM of 217, 173, 857, 856, 667
• LCM of 465, 433, 444, 667, 892
• LCM of 311, 234, 998, 686, 724
• LCM of 436, 931, 224, 423, 697

1. What is the LCM of 748, 371, 424, 614, 106?

Answer: LCM of 748, 371, 424, 614, 106 is 170389912.

2. How to calculate the LCM of 748, 371, 424, 614, 106?

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 748, 371, 424, 614, 106.

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}.