Given numbers are 283,228,972,672

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

The LCM of 283,228,972,672 is 292680864.

Find LCM of 283,228,972,672 with Prime Factorization

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

2 x 2 x 3 x 283 x 19 x 81 x 56 = 292680864

Therefore, the lowest common multiple of 283,228,972,672 is 292680864.

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.

283 x 228 x 972 x 672 = 42146044416

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.

283 : 1, 283

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,228,972,672, is 1.

Now, the common factors can be found like this.

283:283

228:2x 2x 3x 19

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

672:2x 2x 2x 2x 2x 3x 7

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 3 = 144

Therefore, the value for common factors is 144.

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 = 42146044416/(1x144)

LCM = 42146044416/144

LCM = 292680864

Thus, we can understand that the LCM of 283,228,972,672 is 292680864.

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

• LCM of 953, 229, 260, 481
• LCM of 887, 761, 535, 357
• LCM of 973, 978, 237, 642
• LCM of 245, 485, 581, 721
• LCM of 584, 793, 667, 760

1. What is the LCM of 283, 228, 972, 672?

Answer: LCM of 283, 228, 972, 672 is 292680864.

2. How to calculate the LCM of 283, 228, 972, 672?

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 283, 228, 972, 672.

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}.