Given numbers are 870,992,948,201,340

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

The LCM of 870,992,948,201,340 is 38828601120.

Find LCM of 870,992,948,201,340 with Prime Factorization

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

2 x 2 x 3 x 5 x 29 x 248 x 79 x 67 x 17 = 38828601120

Therefore, the lowest common multiple of 870,992,948,201,340 is 38828601120.

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.

870 x 992 x 948 x 201 x 340 = 55913185612800

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

201 : 1, 3, 67, 201

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,992,948,201,340, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

992:2x 2x 2x 2x 2x 31

948:2x 2x 3x 79

201:3x 67

340:2x 2x 5x 17

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 5 = 1440

Therefore, the value for common factors is 1440.

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 = 55913185612800/(1x1440)

LCM = 55913185612800/1440

LCM = 38828601120

Thus, we can understand that the LCM of 870,992,948,201,340 is 38828601120.

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

• LCM of 354, 286, 693, 504, 578
• LCM of 720, 324, 796, 887, 758
• LCM of 194, 290, 149, 490, 121
• LCM of 886, 404, 803, 262, 272
• LCM of 887, 969, 608, 193, 318

1. What is the LCM of 870, 992, 948, 201, 340?

Answer: LCM of 870, 992, 948, 201, 340 is 38828601120.

2. How to calculate the LCM of 870, 992, 948, 201, 340?

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 870, 992, 948, 201, 340.

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}.