LCM of 454, 251, 822, 588, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 251, 822, 588, 326 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 454, 251, 822, 588, 326. So, keep reading to learn more.
Given numbers are 454,251,822,588,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,251,822,588,326 is 748143791556.
Find LCM of 454,251,822,588,326 with Prime Factorization
| 2 | 454, 251, 822, 588, 326 |
| 3 | 227, 251, 411, 294, 163 |
| 227, 251, 137, 98, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 251 x 137 x 98 x 163 = 748143791556
Therefore, the lowest common multiple of 454,251,822,588,326 is 748143791556.
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.
454 x 251 x 822 x 588 x 326 = 17955450997344
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.
454 : 1, 2, 227, 454
251 : 1, 251
822 : 1, 2, 3, 6, 137, 274, 411, 822
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,251,822,588,326, is 1.
Now, the common factors can be found like this.
454:2x 227
251:251
822:2x 3x 137
588:2x 2x 3x 7x 7
326:2x 163
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 3 = 24
Therefore, the value for common factors is 24.
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 = 17955450997344/(1x24)
LCM = 17955450997344/24
LCM = 748143791556
Thus, we can understand that the LCM of 454,251,822,588,326 is 748143791556.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 454, 251, 822, 588, 326
1. What is the LCM of 454, 251, 822, 588, 326?
Answer: LCM of 454, 251, 822, 588, 326 is 748143791556.
2. How to calculate the LCM of 454, 251, 822, 588, 326?
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 454, 251, 822, 588, 326.
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}.