Given numbers are 290,871,104,630,642

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

The LCM of 290,871,104,630,642 is 6810836760.

Find LCM of 290,871,104,630,642 with Prime Factorization

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

2 x 3 x 5 x 13 x 29 x 67 x 4 x 21 x 107 = 6810836760

Therefore, the lowest common multiple of 290,871,104,630,642 is 6810836760.

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.

290 x 871 x 104 x 630 x 642 = 10624905345600

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

871 : 1, 13, 67, 871

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

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,871,104,630,642, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

871:13x 67

104:2x 2x 2x 13

630:2x 3x 3x 5x 7

642:2x 3x 107

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 3x 5x 13 = 1560

Therefore, the value for common factors is 1560.

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 = 10624905345600/(1x1560)

LCM = 10624905345600/1560

LCM = 6810836760

Thus, we can understand that the LCM of 290,871,104,630,642 is 6810836760.

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

• LCM of 908, 639, 101, 276, 674
• LCM of 815, 279, 361, 599, 951
• LCM of 638, 799, 568, 669, 797
• LCM of 654, 227, 200, 756, 593
• LCM of 124, 382, 119, 431, 441

1. What is the LCM of 290, 871, 104, 630, 642?

Answer: LCM of 290, 871, 104, 630, 642 is 6810836760.

2. How to calculate the LCM of 290, 871, 104, 630, 642?

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 290, 871, 104, 630, 642.

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}.