LCM of 113, 339, 840, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 339, 840, 951 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 113, 339, 840, 951. So, keep reading to learn more.
Given numbers are 113,339,840,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,339,840,951 is 30089640.
Find LCM of 113,339,840,951 with Prime Factorization
| 3 | 113, 339, 840, 951 |
| 113 | 113, 113, 280, 317 |
| 1, 1, 280, 317 |
Multiply the prime numbers at the bottom and the left side.
3 x 113 x 1 x 1 x 280 x 317 = 30089640
Therefore, the lowest common multiple of 113,339,840,951 is 30089640.
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.
113 x 339 x 840 x 951 = 30601163880
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.
113 : 1, 113
339 : 1, 3, 113, 339
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,339,840,951, is 1.
Now, the common factors can be found like this.
113:113
339:3x 113
840:2x 2x 2x 3x 5x 7
951:3x 317
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 113 = 1017
Therefore, the value for common factors is 1017.
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 = 30601163880/(1x1017)
LCM = 30601163880/1017
LCM = 30089640
Thus, we can understand that the LCM of 113,339,840,951 is 30089640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 113, 339, 840, 951
1. What is the LCM of 113, 339, 840, 951?
Answer: LCM of 113, 339, 840, 951 is 30089640.
2. How to calculate the LCM of 113, 339, 840, 951?
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 113, 339, 840, 951.
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}.