Given numbers are 972,214,842,704

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

The LCM of 972,214,842,704 is 7706280384.

Find LCM of 972,214,842,704 with Prime Factorization

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

2 x 2 x 243 x 107 x 421 x 176 = 7706280384

Therefore, the lowest common multiple of 972,214,842,704 is 7706280384.

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 214 x 842 x 704 = 123300486144

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

214 : 1, 2, 107, 214

842 : 1, 2, 421, 842

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,214,842,704, is 2.

Now, the common factors can be found like this.

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

214:2x 107

842:2x 421

704:2x 2x 2x 2x 2x 2x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 123300486144/(2x8)

LCM = 123300486144/16

LCM = 7706280384

Thus, we can understand that the LCM of 972,214,842,704 is 7706280384.

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

• LCM of 833, 271, 276, 221
• LCM of 224, 781, 871, 100
• LCM of 190, 733, 947, 390
• LCM of 120, 415, 587, 423
• LCM of 829, 490, 949, 415

1. What is the LCM of 972, 214, 842, 704?

Answer: LCM of 972, 214, 842, 704 is 7706280384.

2. How to calculate the LCM of 972, 214, 842, 704?

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, 214, 842, 704.

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}.