Given numbers are 228,523,852,972,680

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

The LCM of 228,523,852,972,680 is 116581281480.

Find LCM of 228,523,852,972,680 with Prime Factorization

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

2 x 2 x 3 x 19 x 523 x 71 x 81 x 170 = 116581281480

Therefore, the lowest common multiple of 228,523,852,972,680 is 116581281480.

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 523 x 852 x 972 x 680 = 67150818132480

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

523 : 1, 523

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,523,852,972,680, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

523:523

852:2x 2x 3x 71

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

680:2x 2x 2x 5x 17

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 67150818132480/(1x576)

LCM = 67150818132480/576

LCM = 116581281480

Thus, we can understand that the LCM of 228,523,852,972,680 is 116581281480.

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

• LCM of 830, 768, 889, 636, 474
• LCM of 230, 524, 560, 217, 327
• LCM of 185, 939, 975, 814, 823
• LCM of 381, 739, 977, 304, 930
• LCM of 110, 329, 280, 597, 329

1. What is the LCM of 228, 523, 852, 972, 680?

Answer: LCM of 228, 523, 852, 972, 680 is 116581281480.

2. How to calculate the LCM of 228, 523, 852, 972, 680?

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, 523, 852, 972, 680.

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}.