Given numbers are 648,920,257,120,326

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

The LCM of 648,920,257,120,326 is 3121717320.

Find LCM of 648,920,257,120,326 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 27 x 23 x 257 x 1 x 163 = 3121717320

Therefore, the lowest common multiple of 648,920,257,120,326 is 3121717320.

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.

648 x 920 x 257 x 120 x 326 = 5993697254400

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

257 : 1, 257

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,920,257,120,326, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

920:2x 2x 2x 5x 23

257:257

120:2x 2x 2x 3x 5

326:2x 163

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 2x 2x 2x 3x 5 = 1920

Therefore, the value for common factors is 1920.

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 = 5993697254400/(1x1920)

LCM = 5993697254400/1920

LCM = 3121717320

Thus, we can understand that the LCM of 648,920,257,120,326 is 3121717320.

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

• LCM of 257, 389, 128, 222, 941
• LCM of 617, 503, 970, 770, 217
• LCM of 503, 393, 277, 187, 285
• LCM of 585, 705, 192, 545, 307
• LCM of 670, 741, 843, 793, 244

1. What is the LCM of 648, 920, 257, 120, 326?

Answer: LCM of 648, 920, 257, 120, 326 is 3121717320.

2. How to calculate the LCM of 648, 920, 257, 120, 326?

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 648, 920, 257, 120, 326.

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}.