Given numbers are 640,792,270,149,438

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

The LCM of 640,792,270,149,438 is 2067500160.

Find LCM of 640,792,270,149,438 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 16 x 11 x 3 x 149 x 73 = 2067500160

Therefore, the lowest common multiple of 640,792,270,149,438 is 2067500160.

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.

640 x 792 x 270 x 149 x 438 = 8931600691200

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.

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

149 : 1, 149

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,792,270,149,438, is 1.

Now, the common factors can be found like this.

640:2x 2x 2x 2x 2x 2x 2x 5

792:2x 2x 2x 3x 3x 11

270:2x 3x 3x 3x 5

149:149

438:2x 3x 73

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 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 8931600691200/(1x4320)

LCM = 8931600691200/4320

LCM = 2067500160

Thus, we can understand that the LCM of 640,792,270,149,438 is 2067500160.

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

• LCM of 388, 171, 266, 369, 710
• LCM of 362, 809, 383, 554, 658
• LCM of 406, 969, 639, 491, 810
• LCM of 282, 890, 445, 131, 156
• LCM of 456, 325, 137, 569, 814

1. What is the LCM of 640, 792, 270, 149, 438?

Answer: LCM of 640, 792, 270, 149, 438 is 2067500160.

2. How to calculate the LCM of 640, 792, 270, 149, 438?

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 640, 792, 270, 149, 438.

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}.