Given numbers are 780,817,110,971

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

The LCM of 780,817,110,971 is 6806574060.

Find LCM of 780,817,110,971 with Prime Factorization

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

2 x 5 x 78 x 817 x 11 x 971 = 6806574060

Therefore, the lowest common multiple of 780,817,110,971 is 6806574060.

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.

780 x 817 x 110 x 971 = 68065740600

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

817 : 1, 19, 43, 817

110 : 1, 2, 5, 10, 11, 22, 55, 110

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,817,110,971, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

817:19x 43

110:2x 5x 11

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 5 = 10

Therefore, the value for common factors is 10.

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 = 68065740600/(1x10)

LCM = 68065740600/10

LCM = 6806574060

Thus, we can understand that the LCM of 780,817,110,971 is 6806574060.

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

• LCM of 353, 691, 633, 735
• LCM of 710, 321, 190, 921
• LCM of 588, 401, 833, 488
• LCM of 613, 799, 634, 315
• LCM of 381, 960, 648, 186

1. What is the LCM of 780, 817, 110, 971?

Answer: LCM of 780, 817, 110, 971 is 6806574060.

2. How to calculate the LCM of 780, 817, 110, 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 780, 817, 110, 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}.