Given numbers are 481,224,269,972

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

The LCM of 481,224,269,972 is 7042902048.

Find LCM of 481,224,269,972 with Prime Factorization

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

2 x 2 x 481 x 56 x 269 x 243 = 7042902048

Therefore, the lowest common multiple of 481,224,269,972 is 7042902048.

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.

481 x 224 x 269 x 972 = 28171608192

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.

481 : 1, 13, 37, 481

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

269 : 1, 269

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,224,269,972, is 1.

Now, the common factors can be found like this.

481:13x 37

224:2x 2x 2x 2x 2x 7

269:269

972:2x 2x 3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 28171608192/(1x4)

LCM = 28171608192/4

LCM = 7042902048

Thus, we can understand that the LCM of 481,224,269,972 is 7042902048.

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

• LCM of 929, 214, 949, 222
• LCM of 695, 632, 819, 882
• LCM of 733, 490, 872, 170
• LCM of 900, 280, 733, 459
• LCM of 775, 824, 156, 838

1. What is the LCM of 481, 224, 269, 972?

Answer: LCM of 481, 224, 269, 972 is 7042902048.

2. How to calculate the LCM of 481, 224, 269, 972?

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 481, 224, 269, 972.

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}.