LCM of 381, 649, 748, 948, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 649, 748, 948, 905 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 381, 649, 748, 948, 905. So, keep reading to learn more.
Given numbers are 381,649,748,948,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,649,748,948,905 is 1202137806540.
Find LCM of 381,649,748,948,905 with Prime Factorization
| 2 | 381, 649, 748, 948, 905 |
| 2 | 381, 649, 374, 474, 905 |
| 3 | 381, 649, 187, 237, 905 |
| 11 | 127, 649, 187, 79, 905 |
| 127, 59, 17, 79, 905 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 127 x 59 x 17 x 79 x 905 = 1202137806540
Therefore, the lowest common multiple of 381,649,748,948,905 is 1202137806540.
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.
381 x 649 x 748 x 948 x 905 = 158682190463280
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.
381 : 1, 3, 127, 381
649 : 1, 11, 59, 649
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,649,748,948,905, is 1.
Now, the common factors can be found like this.
381:3x 127
649:11x 59
748:2x 2x 11x 17
948:2x 2x 3x 79
905:5x 181
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 158682190463280/(1x132)
LCM = 158682190463280/132
LCM = 1202137806540
Thus, we can understand that the LCM of 381,649,748,948,905 is 1202137806540.
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FAQs on LCM of 381, 649, 748, 948, 905
1. What is the LCM of 381, 649, 748, 948, 905?
Answer: LCM of 381, 649, 748, 948, 905 is 1202137806540.
2. How to calculate the LCM of 381, 649, 748, 948, 905?
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 381, 649, 748, 948, 905.
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}.