LCM of 374, 252, 990, 515, 754
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 252, 990, 515, 754 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 374, 252, 990, 515, 754. So, keep reading to learn more.
Given numbers are 374,252,990,515,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,252,990,515,754 is 9149360220.
Find LCM of 374,252,990,515,754 with Prime Factorization
| 2 | 374, 252, 990, 515, 754 |
| 3 | 187, 126, 495, 515, 377 |
| 3 | 187, 42, 165, 515, 377 |
| 5 | 187, 14, 55, 515, 377 |
| 11 | 187, 14, 11, 103, 377 |
| 17, 14, 1, 103, 377 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 17 x 14 x 1 x 103 x 377 = 9149360220
Therefore, the lowest common multiple of 374,252,990,515,754 is 9149360220.
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.
374 x 252 x 990 x 515 x 754 = 36231466471200
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
515 : 1, 5, 103, 515
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,252,990,515,754, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
252:2x 2x 3x 3x 7
990:2x 3x 3x 5x 11
515:5x 103
754:2x 13x 29
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 3x 3x 5x 11 = 3960
Therefore, the value for common factors is 3960.
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 = 36231466471200/(1x3960)
LCM = 36231466471200/3960
LCM = 9149360220
Thus, we can understand that the LCM of 374,252,990,515,754 is 9149360220.
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FAQs on LCM of 374, 252, 990, 515, 754
1. What is the LCM of 374, 252, 990, 515, 754?
Answer: LCM of 374, 252, 990, 515, 754 is 9149360220.
2. How to calculate the LCM of 374, 252, 990, 515, 754?
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 374, 252, 990, 515, 754.
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}.