Given numbers are 948,214,671,971,917

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

The LCM of 948,214,671,971,917 is 60604266707292.

Find LCM of 948,214,671,971,917 with Prime Factorization

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

2 x 474 x 107 x 671 x 971 x 917 = 60604266707292

Therefore, the lowest common multiple of 948,214,671,971,917 is 60604266707292.

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.

948 x 214 x 671 x 971 x 917 = 121208533414584

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.

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

214 : 1, 2, 107, 214

671 : 1, 11, 61, 671

971 : 1, 971

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,214,671,971,917, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

214:2x 107

671:11x 61

971:971

917:7x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 121208533414584/(1x2)

LCM = 121208533414584/2

LCM = 60604266707292

Thus, we can understand that the LCM of 948,214,671,971,917 is 60604266707292.

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

• LCM of 117, 303, 586, 389, 482
• LCM of 414, 515, 415, 535, 639
• LCM of 697, 888, 219, 939, 237
• LCM of 770, 418, 988, 941, 310
• LCM of 792, 488, 475, 314, 710

1. What is the LCM of 948, 214, 671, 971, 917?

Answer: LCM of 948, 214, 671, 971, 917 is 60604266707292.

2. How to calculate the LCM of 948, 214, 671, 971, 917?

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 948, 214, 671, 971, 917.

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}.