Given numbers are 834,978,330,117,716

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

The LCM of 834,978,330,117,716 is 104391221220.

Find LCM of 834,978,330,117,716 with Prime Factorization

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

2 x 3 x 139 x 163 x 55 x 39 x 358 = 104391221220

Therefore, the lowest common multiple of 834,978,330,117,716 is 104391221220.

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.

834 x 978 x 330 x 117 x 716 = 22548503783520

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

978 : 1, 2, 3, 6, 163, 326, 489, 978

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

117 : 1, 3, 9, 13, 39, 117

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,978,330,117,716, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

978:2x 3x 163

330:2x 3x 5x 11

117:3x 3x 13

716:2x 2x 179

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 22548503783520/(1x216)

LCM = 22548503783520/216

LCM = 104391221220

Thus, we can understand that the LCM of 834,978,330,117,716 is 104391221220.

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

• LCM of 142, 981, 202, 563, 772
• LCM of 228, 561, 967, 971, 165
• LCM of 539, 379, 630, 162, 752
• LCM of 883, 462, 196, 666, 308
• LCM of 663, 449, 696, 649, 359

1. What is the LCM of 834, 978, 330, 117, 716?

Answer: LCM of 834, 978, 330, 117, 716 is 104391221220.

2. How to calculate the LCM of 834, 978, 330, 117, 716?

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 834, 978, 330, 117, 716.

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}.