Given numbers are 228,749,131,683,171

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

The LCM of 228,749,131,683,171 is 45838449468.

Find LCM of 228,749,131,683,171 with Prime Factorization

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

3 x 19 x 4 x 749 x 131 x 683 x 3 = 45838449468

Therefore, the lowest common multiple of 228,749,131,683,171 is 45838449468.

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 749 x 131 x 683 x 171 = 2612791619676

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

749 : 1, 7, 107, 749

131 : 1, 131

683 : 1, 683

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,749,131,683,171, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

749:7x 107

131:131

683:683

171:3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 2612791619676/(1x57)

LCM = 2612791619676/57

LCM = 45838449468

Thus, we can understand that the LCM of 228,749,131,683,171 is 45838449468.

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

• LCM of 552, 877, 491, 326, 583
• LCM of 997, 387, 772, 501, 471
• LCM of 981, 475, 453, 776, 542
• LCM of 901, 758, 349, 681, 395
• LCM of 283, 112, 548, 207, 831

1. What is the LCM of 228, 749, 131, 683, 171?

Answer: LCM of 228, 749, 131, 683, 171 is 45838449468.

2. How to calculate the LCM of 228, 749, 131, 683, 171?

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, 749, 131, 683, 171.

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}.