Given numbers are 971,416,271,133,678

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

The LCM of 971,416,271,133,678 is 4935523119072.

Find LCM of 971,416,271,133,678 with Prime Factorization

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

2 x 971 x 208 x 271 x 133 x 339 = 4935523119072

Therefore, the lowest common multiple of 971,416,271,133,678 is 4935523119072.

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.

971 x 416 x 271 x 133 x 678 = 9871046238144

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.

971 : 1, 971

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

271 : 1, 271

133 : 1, 7, 19, 133

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,416,271,133,678, is 1.

Now, the common factors can be found like this.

971:971

416:2x 2x 2x 2x 2x 13

271:271

133:7x 19

678:2x 3x 113

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 = 9871046238144/(1x2)

LCM = 9871046238144/2

LCM = 4935523119072

Thus, we can understand that the LCM of 971,416,271,133,678 is 4935523119072.

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

• LCM of 348, 715, 245, 115, 877
• LCM of 183, 635, 536, 282, 612
• LCM of 984, 797, 679, 498, 870
• LCM of 387, 347, 998, 517, 107
• LCM of 907, 208, 556, 158, 410

1. What is the LCM of 971, 416, 271, 133, 678?

Answer: LCM of 971, 416, 271, 133, 678 is 4935523119072.

2. How to calculate the LCM of 971, 416, 271, 133, 678?

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 971, 416, 271, 133, 678.

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}.