LCM of 607, 378, 242, 594, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 378, 242, 594, 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 607, 378, 242, 594, 905. So, keep reading to learn more.
Given numbers are 607,378,242,594,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,378,242,594,905 is 25125484230.
Find LCM of 607,378,242,594,905 with Prime Factorization
| 2 | 607, 378, 242, 594, 905 |
| 3 | 607, 189, 121, 297, 905 |
| 3 | 607, 63, 121, 99, 905 |
| 3 | 607, 21, 121, 33, 905 |
| 11 | 607, 7, 121, 11, 905 |
| 607, 7, 1, 11, 905 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 607 x 7 x 1 x 11 x 905 = 25125484230
Therefore, the lowest common multiple of 607,378,242,594,905 is 25125484230.
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.
607 x 378 x 242 x 594 x 905 = 29849075265240
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.
607 : 1, 607
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
242 : 1, 2, 11, 22, 121, 242
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,378,242,594,905, is 1.
Now, the common factors can be found like this.
607:607
378:2x 3x 3x 3x 7
242:2x 11x 11
594:2x 3x 3x 3x 11
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 3x 3x 11 = 1188
Therefore, the value for common factors is 1188.
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 = 29849075265240/(1x1188)
LCM = 29849075265240/1188
LCM = 25125484230
Thus, we can understand that the LCM of 607,378,242,594,905 is 25125484230.
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FAQs on LCM of 607, 378, 242, 594, 905
1. What is the LCM of 607, 378, 242, 594, 905?
Answer: LCM of 607, 378, 242, 594, 905 is 25125484230.
2. How to calculate the LCM of 607, 378, 242, 594, 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 607, 378, 242, 594, 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}.