LCM of 607, 268, 726, 586, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 268, 726, 586, 968 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, 268, 726, 586, 968. So, keep reading to learn more.
Given numbers are 607,268,726,586,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,268,726,586,968 is 34604113368.
Find LCM of 607,268,726,586,968 with Prime Factorization
| 2 | 607, 268, 726, 586, 968 |
| 2 | 607, 134, 363, 293, 484 |
| 11 | 607, 67, 363, 293, 242 |
| 11 | 607, 67, 33, 293, 22 |
| 607, 67, 3, 293, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 607 x 67 x 3 x 293 x 2 = 34604113368
Therefore, the lowest common multiple of 607,268,726,586,968 is 34604113368.
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 268 x 726 x 586 x 968 = 66993563480448
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
268 : 1, 2, 4, 67, 134, 268
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
586 : 1, 2, 293, 586
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,268,726,586,968, is 1.
Now, the common factors can be found like this.
607:607
268:2x 2x 67
726:2x 3x 11x 11
586:2x 293
968:2x 2x 2x 11x 11
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 2x 2x 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 66993563480448/(1x1936)
LCM = 66993563480448/1936
LCM = 34604113368
Thus, we can understand that the LCM of 607,268,726,586,968 is 34604113368.
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FAQs on LCM of 607, 268, 726, 586, 968
1. What is the LCM of 607, 268, 726, 586, 968?
Answer: LCM of 607, 268, 726, 586, 968 is 34604113368.
2. How to calculate the LCM of 607, 268, 726, 586, 968?
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, 268, 726, 586, 968.
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}.