Given numbers are 102,17,748

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

The LCM of 102,17,748 is 2244.

Find LCM of 102,17,748 with Prime Factorization

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

2 x 17 x 3 x 1 x 22 = 2244

Therefore, the lowest common multiple of 102,17,748 is 2244.

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.

102 x 17 x 748 = 1297032

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

17 : 1, 17

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

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,17,748, is 17.

Now, the common factors can be found like this.

102:2x 3x 17

17:17

748:2x 2x 11x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 1297032/(17x34)

LCM = 1297032/578

LCM = 2244

Thus, we can understand that the LCM of 102,17,748 is 2244.

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

• LCM of 318, 46, 315
• LCM of 867, 24, 941
• LCM of 400, 11, 399
• LCM of 965, 99, 723
• LCM of 746, 20, 287

1. What is the LCM of 102, 17, 748?

Answer: LCM of 102, 17, 748 is 2244.

2. How to calculate the LCM of 102, 17, 748?

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 102, 17, 748.

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}.