LCM of 339, 989, 189, 602, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 989, 189, 602, 711 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 339, 989, 189, 602, 711. So, keep reading to learn more.
Given numbers are 339,989,189,602,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,989,189,602,711 is 3337287534.
Find LCM of 339,989,189,602,711 with Prime Factorization
| 3 | 339, 989, 189, 602, 711 |
| 3 | 113, 989, 63, 602, 237 |
| 7 | 113, 989, 21, 602, 79 |
| 43 | 113, 989, 3, 86, 79 |
| 113, 23, 3, 2, 79 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 43 x 113 x 23 x 3 x 2 x 79 = 3337287534
Therefore, the lowest common multiple of 339,989,189,602,711 is 3337287534.
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.
339 x 989 x 189 x 602 x 711 = 27122135788818
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.
339 : 1, 3, 113, 339
989 : 1, 23, 43, 989
189 : 1, 3, 7, 9, 21, 27, 63, 189
602 : 1, 2, 7, 14, 43, 86, 301, 602
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,989,189,602,711, is 1.
Now, the common factors can be found like this.
339:3x 113
989:23x 43
189:3x 3x 3x 7
602:2x 7x 43
711:3x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 43 = 8127
Therefore, the value for common factors is 8127.
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 = 27122135788818/(1x8127)
LCM = 27122135788818/8127
LCM = 3337287534
Thus, we can understand that the LCM of 339,989,189,602,711 is 3337287534.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 339, 989, 189, 602, 711
1. What is the LCM of 339, 989, 189, 602, 711?
Answer: LCM of 339, 989, 189, 602, 711 is 3337287534.
2. How to calculate the LCM of 339, 989, 189, 602, 711?
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 339, 989, 189, 602, 711.
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}.