LCM of 343, 966, 473, 690, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 343, 966, 473, 690, 774 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 343, 966, 473, 690, 774. So, keep reading to learn more.
Given numbers are 343,966,473,690,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,966,473,690,774 is 335834730.
Find LCM of 343,966,473,690,774 with Prime Factorization
| 2 | 343, 966, 473, 690, 774 |
| 3 | 343, 483, 473, 345, 387 |
| 7 | 343, 161, 473, 115, 129 |
| 23 | 49, 23, 473, 115, 129 |
| 43 | 49, 1, 473, 5, 129 |
| 49, 1, 11, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 43 x 49 x 1 x 11 x 5 x 3 = 335834730
Therefore, the lowest common multiple of 343,966,473,690,774 is 335834730.
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.
343 x 966 x 473 x 690 x 774 = 83699418088440
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.
343 : 1, 7, 49, 343
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
473 : 1, 11, 43, 473
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,966,473,690,774, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
966:2x 3x 7x 23
473:11x 43
690:2x 3x 5x 23
774:2x 3x 3x 43
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 3x 3x 7x 23x 43 = 249228
Therefore, the value for common factors is 249228.
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 = 83699418088440/(1x249228)
LCM = 83699418088440/249228
LCM = 335834730
Thus, we can understand that the LCM of 343,966,473,690,774 is 335834730.
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FAQs on LCM of 343, 966, 473, 690, 774
1. What is the LCM of 343, 966, 473, 690, 774?
Answer: LCM of 343, 966, 473, 690, 774 is 335834730.
2. How to calculate the LCM of 343, 966, 473, 690, 774?
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 343, 966, 473, 690, 774.
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}.