Given numbers are 897,828,740,516,678

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

The LCM of 897,828,740,516,678 is 9675921060.

Find LCM of 897,828,740,516,678 with Prime Factorization

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

2 x 2 x 3 x 23 x 13 x 3 x 185 x 43 x 113 = 9675921060

Therefore, the lowest common multiple of 897,828,740,516,678 is 9675921060.

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.

897 x 828 x 740 x 516 x 678 = 192279903304320

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.

897 : 1, 3, 13, 23, 39, 69, 299, 897

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 897,828,740,516,678, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

828:2x 2x 3x 3x 23

740:2x 2x 5x 37

516:2x 2x 3x 43

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.

2x 2x 2x 2x 2x 3x 3x 3x 23 = 19872

Therefore, the value for common factors is 19872.

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 = 192279903304320/(1x19872)

LCM = 192279903304320/19872

LCM = 9675921060

Thus, we can understand that the LCM of 897,828,740,516,678 is 9675921060.

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

• LCM of 304, 233, 851, 649, 898
• LCM of 136, 473, 178, 443, 569
• LCM of 546, 727, 978, 547, 322
• LCM of 719, 964, 559, 340, 986
• LCM of 834, 182, 829, 642, 211

1. What is the LCM of 897, 828, 740, 516, 678?

Answer: LCM of 897, 828, 740, 516, 678 is 9675921060.

2. How to calculate the LCM of 897, 828, 740, 516, 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 897, 828, 740, 516, 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}.