Find the LCM of 587, 771, 264, 126, 233 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 587, 771, 264, 126, 233. So, keep reading to learn more.
Given numbers are 587,771,264,126,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,771,264,126,233 is 194872414968.
Find LCM of 587,771,264,126,233 with Prime Factorization
2 | 587, 771, 264, 126, 233 |
3 | 587, 771, 132, 63, 233 |
587, 257, 44, 21, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 587 x 257 x 44 x 21 x 233 = 194872414968
Therefore, the lowest common multiple of 587,771,264,126,233 is 194872414968.
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.
587 x 771 x 264 x 126 x 233 = 3507703469424
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.
587 : 1, 587
771 : 1, 3, 257, 771
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,771,264,126,233, is 1.
Now, the common factors can be found like this.
587:587
771:3x 257
264:2x 2x 2x 3x 11
126:2x 3x 3x 7
233:233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 3507703469424/(1x18)
LCM = 3507703469424/18
LCM = 194872414968
Thus, we can understand that the LCM of 587,771,264,126,233 is 194872414968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 587, 771, 264, 126, 233?
Answer: LCM of 587, 771, 264, 126, 233 is 194872414968.
2. How to calculate the LCM of 587, 771, 264, 126, 233?
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 587, 771, 264, 126, 233.
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}.