Given numbers are 748,924,170,257

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

The LCM of 748,924,170,257 is 20184780.

Find LCM of 748,924,170,257 with Prime Factorization

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

2 x 2 x 11 x 17 x 1 x 21 x 5 x 257 = 20184780

Therefore, the lowest common multiple of 748,924,170,257 is 20184780.

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 924 x 170 x 257 = 30196430880

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

170 : 1, 2, 5, 10, 17, 34, 85, 170

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,924,170,257, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

924:2x 2x 3x 7x 11

170:2x 5x 17

257:257

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 11x 17 = 1496

Therefore, the value for common factors is 1496.

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 = 30196430880/(1x1496)

LCM = 30196430880/1496

LCM = 20184780

Thus, we can understand that the LCM of 748,924,170,257 is 20184780.

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

• LCM of 597, 898, 507, 625
• LCM of 123, 215, 269, 775
• LCM of 877, 778, 532, 754
• LCM of 213, 925, 304, 746
• LCM of 388, 265, 285, 736

1. What is the LCM of 748, 924, 170, 257?

Answer: LCM of 748, 924, 170, 257 is 20184780.

2. How to calculate the LCM of 748, 924, 170, 257?

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, 924, 170, 257.

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}.