Given numbers are 972,390,288,797

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

The LCM of 972,390,288,797 is 402835680.

Find LCM of 972,390,288,797 with Prime Factorization

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

2 x 2 x 3 x 3 x 27 x 65 x 8 x 797 = 402835680

Therefore, the lowest common multiple of 972,390,288,797 is 402835680.

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.

972 x 390 x 288 x 797 = 87012506880

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,390,288,797, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

390:2x 3x 5x 13

288:2x 2x 2x 2x 2x 3x 3

797:797

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 87012506880/(1x216)

LCM = 87012506880/216

LCM = 402835680

Thus, we can understand that the LCM of 972,390,288,797 is 402835680.

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

• LCM of 756, 155, 189, 572
• LCM of 946, 254, 602, 747
• LCM of 635, 416, 878, 641
• LCM of 946, 492, 770, 385
• LCM of 336, 446, 949, 330

1. What is the LCM of 972, 390, 288, 797?

Answer: LCM of 972, 390, 288, 797 is 402835680.

2. How to calculate the LCM of 972, 390, 288, 797?

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 972, 390, 288, 797.

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}.