Given numbers are 968,744,240,698,324

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

The LCM of 968,744,240,698,324 is 8482961520.

Find LCM of 968,744,240,698,324 with Prime Factorization

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

2 x 2 x 2 x 3 x 121 x 31 x 10 x 349 x 27 = 8482961520

Therefore, the lowest common multiple of 968,744,240,698,324 is 8482961520.

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.

968 x 744 x 240 x 698 x 324 = 39089486684160

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

698 : 1, 2, 349, 698

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,744,240,698,324, is 2.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

744:2x 2x 2x 3x 31

240:2x 2x 2x 2x 3x 5

698:2x 349

324:2x 2x 3x 3x 3x 3

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 2x 2x 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 39089486684160/(2x2304)

LCM = 39089486684160/4608

LCM = 8482961520

Thus, we can understand that the LCM of 968,744,240,698,324 is 8482961520.

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

• LCM of 632, 545, 408, 962, 178
• LCM of 897, 190, 397, 132, 830
• LCM of 261, 378, 992, 214, 375
• LCM of 338, 112, 581, 856, 159
• LCM of 342, 144, 122, 998, 191

1. What is the LCM of 968, 744, 240, 698, 324?

Answer: LCM of 968, 744, 240, 698, 324 is 8482961520.

2. How to calculate the LCM of 968, 744, 240, 698, 324?

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 968, 744, 240, 698, 324.

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}.