Given numbers are 228,157,128,509

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

The LCM of 228,157,128,509 is 583045248.

Find LCM of 228,157,128,509 with Prime Factorization

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

2 x 2 x 57 x 157 x 32 x 509 = 583045248

Therefore, the lowest common multiple of 228,157,128,509 is 583045248.

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.

228 x 157 x 128 x 509 = 2332180992

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.

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

157 : 1, 157

128 : 1, 2, 4, 8, 16, 32, 64, 128

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,157,128,509, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

157:157

128:2x 2x 2x 2x 2x 2x 2

509:509

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 = 2332180992/(1x4)

LCM = 2332180992/4

LCM = 583045248

Thus, we can understand that the LCM of 228,157,128,509 is 583045248.

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

• LCM of 470, 701, 751, 827
• LCM of 746, 805, 451, 878
• LCM of 263, 886, 367, 505
• LCM of 351, 709, 406, 665
• LCM of 541, 131, 339, 697

1. What is the LCM of 228, 157, 128, 509?

Answer: LCM of 228, 157, 128, 509 is 583045248.

2. How to calculate the LCM of 228, 157, 128, 509?

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 228, 157, 128, 509.

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}.