LCM of 607, 690, 897, 338, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 690, 897, 338, 744 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, 690, 897, 338, 744. So, keep reading to learn more.
Given numbers are 607,690,897,338,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,690,897,338,744 is 8777001480.
Find LCM of 607,690,897,338,744 with Prime Factorization
| 2 | 607, 690, 897, 338, 744 |
| 3 | 607, 345, 897, 169, 372 |
| 13 | 607, 115, 299, 169, 124 |
| 23 | 607, 115, 23, 13, 124 |
| 607, 5, 1, 13, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 607 x 5 x 1 x 13 x 124 = 8777001480
Therefore, the lowest common multiple of 607,690,897,338,744 is 8777001480.
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 690 x 897 x 338 x 744 = 94475643930720
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
897 : 1, 3, 13, 23, 39, 69, 299, 897
338 : 1, 2, 13, 26, 169, 338
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,690,897,338,744, is 1.
Now, the common factors can be found like this.
607:607
690:2x 3x 5x 23
897:3x 13x 23
338:2x 13x 13
744:2x 2x 2x 3x 31
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 13x 23 = 10764
Therefore, the value for common factors is 10764.
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 = 94475643930720/(1x10764)
LCM = 94475643930720/10764
LCM = 8777001480
Thus, we can understand that the LCM of 607,690,897,338,744 is 8777001480.
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FAQs on LCM of 607, 690, 897, 338, 744
1. What is the LCM of 607, 690, 897, 338, 744?
Answer: LCM of 607, 690, 897, 338, 744 is 8777001480.
2. How to calculate the LCM of 607, 690, 897, 338, 744?
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, 690, 897, 338, 744.
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}.