LCM of 391, 209, 968, 644, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 209, 968, 644, 101 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 391, 209, 968, 644, 101. So, keep reading to learn more.
Given numbers are 391,209,968,644,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,209,968,644,101 is 5084229304.
Find LCM of 391,209,968,644,101 with Prime Factorization
| 2 | 391, 209, 968, 644, 101 |
| 2 | 391, 209, 484, 322, 101 |
| 11 | 391, 209, 242, 161, 101 |
| 23 | 391, 19, 22, 161, 101 |
| 17, 19, 22, 7, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 23 x 17 x 19 x 22 x 7 x 101 = 5084229304
Therefore, the lowest common multiple of 391,209,968,644,101 is 5084229304.
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.
391 x 209 x 968 x 644 x 101 = 5145240055648
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.
391 : 1, 17, 23, 391
209 : 1, 11, 19, 209
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,209,968,644,101, is 1.
Now, the common factors can be found like this.
391:17x 23
209:11x 19
968:2x 2x 2x 11x 11
644:2x 2x 7x 23
101:101
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 11x 23 = 1012
Therefore, the value for common factors is 1012.
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 = 5145240055648/(1x1012)
LCM = 5145240055648/1012
LCM = 5084229304
Thus, we can understand that the LCM of 391,209,968,644,101 is 5084229304.
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FAQs on LCM of 391, 209, 968, 644, 101
1. What is the LCM of 391, 209, 968, 644, 101?
Answer: LCM of 391, 209, 968, 644, 101 is 5084229304.
2. How to calculate the LCM of 391, 209, 968, 644, 101?
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 391, 209, 968, 644, 101.
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}.