LCM of 605, 605, 140, 792, 701
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 605, 140, 792, 701 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 605, 605, 140, 792, 701. So, keep reading to learn more.
Given numbers are 605,605,140,792,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,605,140,792,701 is 213748920.
Find LCM of 605,605,140,792,701 with Prime Factorization
| 2 | 605, 605, 140, 792, 701 |
| 2 | 605, 605, 70, 396, 701 |
| 5 | 605, 605, 35, 198, 701 |
| 11 | 121, 121, 7, 198, 701 |
| 11 | 11, 11, 7, 18, 701 |
| 1, 1, 7, 18, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 11 x 1 x 1 x 7 x 18 x 701 = 213748920
Therefore, the lowest common multiple of 605,605,140,792,701 is 213748920.
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.
605 x 605 x 140 x 792 x 701 = 28449981252000
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.
605 : 1, 5, 11, 55, 121, 605
605 : 1, 5, 11, 55, 121, 605
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,605,140,792,701, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
605:5x 11x 11
140:2x 2x 5x 7
792:2x 2x 2x 3x 3x 11
701:701
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 5x 5x 11x 11x 11 = 133100
Therefore, the value for common factors is 133100.
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 = 28449981252000/(1x133100)
LCM = 28449981252000/133100
LCM = 213748920
Thus, we can understand that the LCM of 605,605,140,792,701 is 213748920.
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FAQs on LCM of 605, 605, 140, 792, 701
1. What is the LCM of 605, 605, 140, 792, 701?
Answer: LCM of 605, 605, 140, 792, 701 is 213748920.
2. How to calculate the LCM of 605, 605, 140, 792, 701?
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 605, 605, 140, 792, 701.
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}.