LCM of 452, 975, 233, 624, 503
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 975, 233, 624, 503 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 452, 975, 233, 624, 503. So, keep reading to learn more.
Given numbers are 452,975,233,624,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,975,233,624,503 is 206598397200.
Find LCM of 452,975,233,624,503 with Prime Factorization
| 2 | 452, 975, 233, 624, 503 |
| 2 | 226, 975, 233, 312, 503 |
| 3 | 113, 975, 233, 156, 503 |
| 13 | 113, 325, 233, 52, 503 |
| 113, 25, 233, 4, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 113 x 25 x 233 x 4 x 503 = 206598397200
Therefore, the lowest common multiple of 452,975,233,624,503 is 206598397200.
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.
452 x 975 x 233 x 624 x 503 = 32229349963200
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.
452 : 1, 2, 4, 113, 226, 452
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
233 : 1, 233
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,975,233,624,503, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
975:3x 5x 5x 13
233:233
624:2x 2x 2x 2x 3x 13
503:503
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 32229349963200/(1x156)
LCM = 32229349963200/156
LCM = 206598397200
Thus, we can understand that the LCM of 452,975,233,624,503 is 206598397200.
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FAQs on LCM of 452, 975, 233, 624, 503
1. What is the LCM of 452, 975, 233, 624, 503?
Answer: LCM of 452, 975, 233, 624, 503 is 206598397200.
2. How to calculate the LCM of 452, 975, 233, 624, 503?
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 452, 975, 233, 624, 503.
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}.