LCM of 758, 452, 849, 354, 176
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 452, 849, 354, 176 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 758, 452, 849, 354, 176. So, keep reading to learn more.
Given numbers are 758,452,849,354,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,452,849,354,176 is 377563517232.
Find LCM of 758,452,849,354,176 with Prime Factorization
| 2 | 758, 452, 849, 354, 176 |
| 2 | 379, 226, 849, 177, 88 |
| 3 | 379, 113, 849, 177, 44 |
| 379, 113, 283, 59, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 379 x 113 x 283 x 59 x 44 = 377563517232
Therefore, the lowest common multiple of 758,452,849,354,176 is 377563517232.
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.
758 x 452 x 849 x 354 x 176 = 18123048827136
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.
758 : 1, 2, 379, 758
452 : 1, 2, 4, 113, 226, 452
849 : 1, 3, 283, 849
354 : 1, 2, 3, 6, 59, 118, 177, 354
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,452,849,354,176, is 1.
Now, the common factors can be found like this.
758:2x 379
452:2x 2x 113
849:3x 283
354:2x 3x 59
176:2x 2x 2x 2x 11
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 18123048827136/(1x48)
LCM = 18123048827136/48
LCM = 377563517232
Thus, we can understand that the LCM of 758,452,849,354,176 is 377563517232.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 758, 452, 849, 354, 176
1. What is the LCM of 758, 452, 849, 354, 176?
Answer: LCM of 758, 452, 849, 354, 176 is 377563517232.
2. How to calculate the LCM of 758, 452, 849, 354, 176?
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 758, 452, 849, 354, 176.
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}.