LCM of 187, 496, 744, 408, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 496, 744, 408, 758 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 187, 496, 744, 408, 758. So, keep reading to learn more.
Given numbers are 187,496,744,408,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,496,744,408,758 is 105459024.
Find LCM of 187,496,744,408,758 with Prime Factorization
| 2 | 187, 496, 744, 408, 758 |
| 2 | 187, 248, 372, 204, 379 |
| 2 | 187, 124, 186, 102, 379 |
| 3 | 187, 62, 93, 51, 379 |
| 17 | 187, 62, 31, 17, 379 |
| 31 | 11, 62, 31, 1, 379 |
| 11, 2, 1, 1, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 31 x 11 x 2 x 1 x 1 x 379 = 105459024
Therefore, the lowest common multiple of 187,496,744,408,758 is 105459024.
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.
187 x 496 x 744 x 408 x 758 = 21341531768832
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.
187 : 1, 11, 17, 187
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,496,744,408,758, is 1.
Now, the common factors can be found like this.
187:11x 17
496:2x 2x 2x 2x 31
744:2x 2x 2x 3x 31
408:2x 2x 2x 3x 17
758:2x 379
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 2x 2x 2x 3x 17x 31 = 202368
Therefore, the value for common factors is 202368.
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 = 21341531768832/(1x202368)
LCM = 21341531768832/202368
LCM = 105459024
Thus, we can understand that the LCM of 187,496,744,408,758 is 105459024.
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FAQs on LCM of 187, 496, 744, 408, 758
1. What is the LCM of 187, 496, 744, 408, 758?
Answer: LCM of 187, 496, 744, 408, 758 is 105459024.
2. How to calculate the LCM of 187, 496, 744, 408, 758?
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 187, 496, 744, 408, 758.
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}.