LCM of 339, 435, 209, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 435, 209, 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 339, 435, 209, 968. So, keep reading to learn more.
Given numbers are 339,435,209,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,435,209,968 is 904058760.
Find LCM of 339,435,209,968 with Prime Factorization
| 3 | 339, 435, 209, 968 |
| 11 | 113, 145, 209, 968 |
| 113, 145, 19, 88 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 113 x 145 x 19 x 88 = 904058760
Therefore, the lowest common multiple of 339,435,209,968 is 904058760.
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 435 x 209 x 968 = 29833939080
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
435 : 1, 3, 5, 15, 29, 87, 145, 435
209 : 1, 11, 19, 209
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 339,435,209,968, is 1.
Now, the common factors can be found like this.
339:3x 113
435:3x 5x 29
209:11x 19
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.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 29833939080/(1x33)
LCM = 29833939080/33
LCM = 904058760
Thus, we can understand that the LCM of 339,435,209,968 is 904058760.
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FAQs on LCM of 339, 435, 209, 968
1. What is the LCM of 339, 435, 209, 968?
Answer: LCM of 339, 435, 209, 968 is 904058760.
2. How to calculate the LCM of 339, 435, 209, 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 339, 435, 209, 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}.