LCM of 623, 497, 252, 373, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 623, 497, 252, 373, 280 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 623, 497, 252, 373, 280. So, keep reading to learn more.
Given numbers are 623,497,252,373,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 623,497,252,373,280 is 5939607240.
Find LCM of 623,497,252,373,280 with Prime Factorization
| 2 | 623, 497, 252, 373, 280 |
| 2 | 623, 497, 126, 373, 140 |
| 7 | 623, 497, 63, 373, 70 |
| 89, 71, 9, 373, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 89 x 71 x 9 x 373 x 10 = 5939607240
Therefore, the lowest common multiple of 623,497,252,373,280 is 5939607240.
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.
623 x 497 x 252 x 373 x 280 = 8149141133280
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.
623 : 1, 7, 89, 623
497 : 1, 7, 71, 497
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
373 : 1, 373
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,497,252,373,280, is 1.
Now, the common factors can be found like this.
623:7x 89
497:7x 71
252:2x 2x 3x 3x 7
373:373
280:2x 2x 2x 5x 7
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 7x 7x 7 = 1372
Therefore, the value for common factors is 1372.
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 = 8149141133280/(1x1372)
LCM = 8149141133280/1372
LCM = 5939607240
Thus, we can understand that the LCM of 623,497,252,373,280 is 5939607240.
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FAQs on LCM of 623, 497, 252, 373, 280
1. What is the LCM of 623, 497, 252, 373, 280?
Answer: LCM of 623, 497, 252, 373, 280 is 5939607240.
2. How to calculate the LCM of 623, 497, 252, 373, 280?
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 623, 497, 252, 373, 280.
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}.