LCM of 346, 784, 912, 814, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 784, 912, 814, 174 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 346, 784, 912, 814, 174. So, keep reading to learn more.
Given numbers are 346,784,912,814,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,784,912,814,174 is 91249276272.
Find LCM of 346,784,912,814,174 with Prime Factorization
| 2 | 346, 784, 912, 814, 174 |
| 2 | 173, 392, 456, 407, 87 |
| 2 | 173, 196, 228, 407, 87 |
| 2 | 173, 98, 114, 407, 87 |
| 3 | 173, 49, 57, 407, 87 |
| 173, 49, 19, 407, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 173 x 49 x 19 x 407 x 29 = 91249276272
Therefore, the lowest common multiple of 346,784,912,814,174 is 91249276272.
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.
346 x 784 x 912 x 814 x 174 = 35039722088448
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.
346 : 1, 2, 173, 346
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
814 : 1, 2, 11, 22, 37, 74, 407, 814
174 : 1, 2, 3, 6, 29, 58, 87, 174
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,784,912,814,174, is 2.
Now, the common factors can be found like this.
346:2x 173
784:2x 2x 2x 2x 7x 7
912:2x 2x 2x 2x 3x 19
814:2x 11x 37
174:2x 3x 29
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 35039722088448/(2x192)
LCM = 35039722088448/384
LCM = 91249276272
Thus, we can understand that the LCM of 346,784,912,814,174 is 91249276272.
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FAQs on LCM of 346, 784, 912, 814, 174
1. What is the LCM of 346, 784, 912, 814, 174?
Answer: LCM of 346, 784, 912, 814, 174 is 91249276272.
2. How to calculate the LCM of 346, 784, 912, 814, 174?
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 346, 784, 912, 814, 174.
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}.