Given numbers are 971,219,283,678,841

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

The LCM of 971,219,283,678,841 is 11438108588022.

Find LCM of 971,219,283,678,841 with Prime Factorization

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

3 x 971 x 73 x 283 x 226 x 841 = 11438108588022

Therefore, the lowest common multiple of 971,219,283,678,841 is 11438108588022.

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 219 x 283 x 678 x 841 = 34314325764066

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

219 : 1, 3, 73, 219

283 : 1, 283

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

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,219,283,678,841, is 1.

Now, the common factors can be found like this.

971:971

219:3x 73

283:283

678:2x 3x 113

841:29x 29

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

3 = 3

Therefore, the value for common factors is 3.

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 = 34314325764066/(1x3)

LCM = 34314325764066/3

LCM = 11438108588022

Thus, we can understand that the LCM of 971,219,283,678,841 is 11438108588022.

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

• LCM of 961, 330, 759, 815, 380
• LCM of 272, 977, 399, 540, 891
• LCM of 572, 654, 355, 486, 858
• LCM of 371, 144, 821, 153, 352
• LCM of 349, 650, 992, 676, 218

1. What is the LCM of 971, 219, 283, 678, 841?

Answer: LCM of 971, 219, 283, 678, 841 is 11438108588022.

2. How to calculate the LCM of 971, 219, 283, 678, 841?

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, 219, 283, 678, 841.

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}.