Given numbers are 748,518,104,371,938

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

The LCM of 748,518,104,371,938 is 17886500632.

Find LCM of 748,518,104,371,938 with Prime Factorization

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

2 x 2 x 7 x 187 x 37 x 26 x 53 x 67 = 17886500632

Therefore, the lowest common multiple of 748,518,104,371,938 is 17886500632.

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 518 x 104 x 371 x 938 = 14023016495488

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

518 : 1, 2, 7, 14, 37, 74, 259, 518

104 : 1, 2, 4, 8, 13, 26, 52, 104

371 : 1, 7, 53, 371

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,518,104,371,938, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

518:2x 7x 37

104:2x 2x 2x 13

371:7x 53

938:2x 7x 67

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 14023016495488/(1x784)

LCM = 14023016495488/784

LCM = 17886500632

Thus, we can understand that the LCM of 748,518,104,371,938 is 17886500632.

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

• LCM of 507, 132, 297, 530, 300
• LCM of 260, 474, 976, 824, 457
• LCM of 356, 542, 123, 565, 650
• LCM of 531, 329, 965, 374, 443
• LCM of 810, 935, 618, 581, 569

1. What is the LCM of 748, 518, 104, 371, 938?

Answer: LCM of 748, 518, 104, 371, 938 is 17886500632.

2. How to calculate the LCM of 748, 518, 104, 371, 938?

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, 518, 104, 371, 938.

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}.