LCM of 602, 868, 731, 969, 379
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 868, 731, 969, 379 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 602, 868, 731, 969, 379. So, keep reading to learn more.
Given numbers are 602,868,731,969,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,868,731,969,379 is 13707276324.
Find LCM of 602,868,731,969,379 with Prime Factorization
| 2 | 602, 868, 731, 969, 379 |
| 7 | 301, 434, 731, 969, 379 |
| 17 | 43, 62, 731, 969, 379 |
| 43 | 43, 62, 43, 57, 379 |
| 1, 62, 1, 57, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 43 x 1 x 62 x 1 x 57 x 379 = 13707276324
Therefore, the lowest common multiple of 602,868,731,969,379 is 13707276324.
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.
602 x 868 x 731 x 969 x 379 = 140280265899816
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
731 : 1, 17, 43, 731
969 : 1, 3, 17, 19, 51, 57, 323, 969
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,868,731,969,379, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
868:2x 2x 7x 31
731:17x 43
969:3x 17x 19
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17x 43 = 10234
Therefore, the value for common factors is 10234.
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 = 140280265899816/(1x10234)
LCM = 140280265899816/10234
LCM = 13707276324
Thus, we can understand that the LCM of 602,868,731,969,379 is 13707276324.
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FAQs on LCM of 602, 868, 731, 969, 379
1. What is the LCM of 602, 868, 731, 969, 379?
Answer: LCM of 602, 868, 731, 969, 379 is 13707276324.
2. How to calculate the LCM of 602, 868, 731, 969, 379?
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 602, 868, 731, 969, 379.
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}.