Given numbers are 252,972,142,468

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

The LCM of 252,972,142,468 is 6280092.

Find LCM of 252,972,142,468 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 27 x 71 x 13 = 6280092

Therefore, the lowest common multiple of 252,972,142,468 is 6280092.

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.

252 x 972 x 142 x 468 = 16277998464

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

142 : 1, 2, 71, 142

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,972,142,468, is 2.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

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

142:2x 71

468:2x 2x 3x 3x 13

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 16277998464/(2x1296)

LCM = 16277998464/2592

LCM = 6280092

Thus, we can understand that the LCM of 252,972,142,468 is 6280092.

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

• LCM of 844, 927, 756, 310
• LCM of 975, 726, 263, 794
• LCM of 698, 593, 637, 199
• LCM of 931, 239, 415, 804
• LCM of 419, 949, 492, 194

1. What is the LCM of 252, 972, 142, 468?

Answer: LCM of 252, 972, 142, 468 is 6280092.

2. How to calculate the LCM of 252, 972, 142, 468?

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 252, 972, 142, 468.

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}.