LCM of 700, 440, 913, 154, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 700, 440, 913, 154, 915 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 700, 440, 913, 154, 915. So, keep reading to learn more.
Given numbers are 700,440,913,154,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 700,440,913,154,915 is 233910600.
Find LCM of 700,440,913,154,915 with Prime Factorization
| 2 | 700, 440, 913, 154, 915 |
| 2 | 350, 220, 913, 77, 915 |
| 5 | 175, 110, 913, 77, 915 |
| 7 | 35, 22, 913, 77, 183 |
| 11 | 5, 22, 913, 11, 183 |
| 5, 2, 83, 1, 183 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 5 x 2 x 83 x 1 x 183 = 233910600
Therefore, the lowest common multiple of 700,440,913,154,915 is 233910600.
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.
700 x 440 x 913 x 154 x 915 = 39624455640000
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.
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
913 : 1, 11, 83, 913
154 : 1, 2, 7, 11, 14, 22, 77, 154
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,440,913,154,915, is 1.
Now, the common factors can be found like this.
700:2x 2x 5x 5x 7
440:2x 2x 2x 5x 11
913:11x 83
154:2x 7x 11
915:3x 5x 61
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 5x 5x 7x 11x 11 = 169400
Therefore, the value for common factors is 169400.
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 = 39624455640000/(1x169400)
LCM = 39624455640000/169400
LCM = 233910600
Thus, we can understand that the LCM of 700,440,913,154,915 is 233910600.
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FAQs on LCM of 700, 440, 913, 154, 915
1. What is the LCM of 700, 440, 913, 154, 915?
Answer: LCM of 700, 440, 913, 154, 915 is 233910600.
2. How to calculate the LCM of 700, 440, 913, 154, 915?
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 700, 440, 913, 154, 915.
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}.