LCM of 741, 351, 977, 658, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 351, 977, 658, 637 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 741, 351, 977, 658, 637. So, keep reading to learn more.
Given numbers are 741,351,977,658,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,351,977,658,637 is 30010913478.
Find LCM of 741,351,977,658,637 with Prime Factorization
| 3 | 741, 351, 977, 658, 637 |
| 7 | 247, 117, 977, 658, 637 |
| 13 | 247, 117, 977, 94, 91 |
| 19, 9, 977, 94, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 19 x 9 x 977 x 94 x 7 = 30010913478
Therefore, the lowest common multiple of 741,351,977,658,637 is 30010913478.
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.
741 x 351 x 977 x 658 x 637 = 106508731933422
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
351 : 1, 3, 9, 13, 27, 39, 117, 351
977 : 1, 977
658 : 1, 2, 7, 14, 47, 94, 329, 658
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,351,977,658,637, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
351:3x 3x 3x 13
977:977
658:2x 7x 47
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 13x 13 = 3549
Therefore, the value for common factors is 3549.
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 = 106508731933422/(1x3549)
LCM = 106508731933422/3549
LCM = 30010913478
Thus, we can understand that the LCM of 741,351,977,658,637 is 30010913478.
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FAQs on LCM of 741, 351, 977, 658, 637
1. What is the LCM of 741, 351, 977, 658, 637?
Answer: LCM of 741, 351, 977, 658, 637 is 30010913478.
2. How to calculate the LCM of 741, 351, 977, 658, 637?
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 741, 351, 977, 658, 637.
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}.