Given numbers are 796,312,510,102,276

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

The LCM of 796,312,510,102,276 is 121382040.

Find LCM of 796,312,510,102,276 with Prime Factorization

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

2 x 2 x 3 x 17 x 199 x 26 x 5 x 1 x 23 = 121382040

Therefore, the lowest common multiple of 796,312,510,102,276 is 121382040.

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.

796 x 312 x 510 x 102 x 276 = 3565718807040

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.

796 : 1, 2, 4, 199, 398, 796

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

102 : 1, 2, 3, 6, 17, 34, 51, 102

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,312,510,102,276, is 2.

Now, the common factors can be found like this.

796:2x 2x 199

312:2x 2x 2x 3x 13

510:2x 3x 5x 17

102:2x 3x 17

276:2x 2x 3x 23

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 17 = 14688

Therefore, the value for common factors is 14688.

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 = 3565718807040/(2x14688)

LCM = 3565718807040/29376

LCM = 121382040

Thus, we can understand that the LCM of 796,312,510,102,276 is 121382040.

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

• LCM of 901, 997, 814, 931, 957
• LCM of 385, 526, 914, 204, 839
• LCM of 251, 240, 768, 105, 359
• LCM of 684, 620, 982, 594, 700
• LCM of 258, 952, 535, 554, 308

1. What is the LCM of 796, 312, 510, 102, 276?

Answer: LCM of 796, 312, 510, 102, 276 is 121382040.

2. How to calculate the LCM of 796, 312, 510, 102, 276?

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 796, 312, 510, 102, 276.

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}.