LCM of 668, 101, 606, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 101, 606, 796 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 668, 101, 606, 796. So, keep reading to learn more.
Given numbers are 668,101,606,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,101,606,796 is 40278396.
Find LCM of 668,101,606,796 with Prime Factorization
| 2 | 668, 101, 606, 796 |
| 2 | 334, 101, 303, 398 |
| 101 | 167, 101, 303, 199 |
| 167, 1, 3, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 101 x 167 x 1 x 3 x 199 = 40278396
Therefore, the lowest common multiple of 668,101,606,796 is 40278396.
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.
668 x 101 x 606 x 796 = 32544943968
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.
668 : 1, 2, 4, 167, 334, 668
101 : 1, 101
606 : 1, 2, 3, 6, 101, 202, 303, 606
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,101,606,796, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
101:101
606:2x 3x 101
796:2x 2x 199
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 101 = 808
Therefore, the value for common factors is 808.
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 = 32544943968/(1x808)
LCM = 32544943968/808
LCM = 40278396
Thus, we can understand that the LCM of 668,101,606,796 is 40278396.
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FAQs on LCM of 668, 101, 606, 796
1. What is the LCM of 668, 101, 606, 796?
Answer: LCM of 668, 101, 606, 796 is 40278396.
2. How to calculate the LCM of 668, 101, 606, 796?
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 668, 101, 606, 796.
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}.