LCM of 114, 920, 700, 345, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 920, 700, 345, 846 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 114, 920, 700, 345, 846. So, keep reading to learn more.
Given numbers are 114,920,700,345,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,920,700,345,846 is 258791400.
Find LCM of 114,920,700,345,846 with Prime Factorization
| 2 | 114, 920, 700, 345, 846 |
| 2 | 57, 460, 350, 345, 423 |
| 3 | 57, 230, 175, 345, 423 |
| 5 | 19, 230, 175, 115, 141 |
| 23 | 19, 46, 35, 23, 141 |
| 19, 2, 35, 1, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 19 x 2 x 35 x 1 x 141 = 258791400
Therefore, the lowest common multiple of 114,920,700,345,846 is 258791400.
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.
114 x 920 x 700 x 345 x 846 = 21427927920000
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
345 : 1, 3, 5, 15, 23, 69, 115, 345
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,920,700,345,846, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
920:2x 2x 2x 5x 23
700:2x 2x 5x 5x 7
345:3x 5x 23
846:2x 3x 3x 47
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 2x 2x 3x 3x 5x 5x 23 = 82800
Therefore, the value for common factors is 82800.
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 = 21427927920000/(1x82800)
LCM = 21427927920000/82800
LCM = 258791400
Thus, we can understand that the LCM of 114,920,700,345,846 is 258791400.
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FAQs on LCM of 114, 920, 700, 345, 846
1. What is the LCM of 114, 920, 700, 345, 846?
Answer: LCM of 114, 920, 700, 345, 846 is 258791400.
2. How to calculate the LCM of 114, 920, 700, 345, 846?
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 114, 920, 700, 345, 846.
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}.