Given numbers are 292,680,228,638,116

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

The LCM of 292,680,228,638,116 is 902604120.

Find LCM of 292,680,228,638,116 with Prime Factorization

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

2 x 2 x 29 x 73 x 170 x 57 x 11 x 1 = 902604120

Therefore, the lowest common multiple of 292,680,228,638,116 is 902604120.

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.

292 x 680 x 228 x 638 x 116 = 3350466493440

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.

292 : 1, 2, 4, 73, 146, 292

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

638 : 1, 2, 11, 22, 29, 58, 319, 638

116 : 1, 2, 4, 29, 58, 116

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,680,228,638,116, is 2.

Now, the common factors can be found like this.

292:2x 2x 73

680:2x 2x 2x 5x 17

228:2x 2x 3x 19

638:2x 11x 29

116:2x 2x 29

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 29 = 1856

Therefore, the value for common factors is 1856.

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 = 3350466493440/(2x1856)

LCM = 3350466493440/3712

LCM = 902604120

Thus, we can understand that the LCM of 292,680,228,638,116 is 902604120.

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

• LCM of 373, 255, 148, 537, 854
• LCM of 629, 934, 314, 264, 364
• LCM of 755, 692, 413, 443, 464
• LCM of 287, 567, 865, 405, 112
• LCM of 928, 155, 596, 256, 819

1. What is the LCM of 292, 680, 228, 638, 116?

Answer: LCM of 292, 680, 228, 638, 116 is 902604120.

2. How to calculate the LCM of 292, 680, 228, 638, 116?

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 292, 680, 228, 638, 116.

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}.