Given numbers are 281,470,910,576,971

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

The LCM of 281,470,910,576,971 is 3360913133760.

Find LCM of 281,470,910,576,971 with Prime Factorization

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

2 x 5 x 281 x 47 x 91 x 288 x 971 = 3360913133760

Therefore, the lowest common multiple of 281,470,910,576,971 is 3360913133760.

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.

281 x 470 x 910 x 576 x 971 = 67218262675200

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.

281 : 1, 281

470 : 1, 2, 5, 10, 47, 94, 235, 470

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,470,910,576,971, is 1.

Now, the common factors can be found like this.

281:281

470:2x 5x 47

910:2x 5x 7x 13

576:2x 2x 2x 2x 2x 2x 3x 3

971:971

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 5 = 20

Therefore, the value for common factors is 20.

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 = 67218262675200/(1x20)

LCM = 67218262675200/20

LCM = 3360913133760

Thus, we can understand that the LCM of 281,470,910,576,971 is 3360913133760.

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

• LCM of 191, 771, 659, 719, 501
• LCM of 828, 778, 142, 524, 952
• LCM of 380, 753, 833, 448, 776
• LCM of 282, 395, 992, 922, 638
• LCM of 588, 171, 371, 695, 606

1. What is the LCM of 281, 470, 910, 576, 971?

Answer: LCM of 281, 470, 910, 576, 971 is 3360913133760.

2. How to calculate the LCM of 281, 470, 910, 576, 971?

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 281, 470, 910, 576, 971.

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}.