LCM of 283, 674, 385, 616, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 674, 385, 616, 968 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 283, 674, 385, 616, 968. So, keep reading to learn more.
Given numbers are 283,674,385,616,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,674,385,616,968 is 3231169480.
Find LCM of 283,674,385,616,968 with Prime Factorization
| 2 | 283, 674, 385, 616, 968 |
| 2 | 283, 337, 385, 308, 484 |
| 2 | 283, 337, 385, 154, 242 |
| 7 | 283, 337, 385, 77, 121 |
| 11 | 283, 337, 55, 11, 121 |
| 283, 337, 5, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 283 x 337 x 5 x 1 x 11 = 3231169480
Therefore, the lowest common multiple of 283,674,385,616,968 is 3231169480.
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.
283 x 674 x 385 x 616 x 968 = 43788808792960
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.
283 : 1, 283
674 : 1, 2, 337, 674
385 : 1, 5, 7, 11, 35, 55, 77, 385
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,674,385,616,968, is 1.
Now, the common factors can be found like this.
283:283
674:2x 337
385:5x 7x 11
616:2x 2x 2x 7x 11
968:2x 2x 2x 11x 11
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 7x 11x 11 = 13552
Therefore, the value for common factors is 13552.
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 = 43788808792960/(1x13552)
LCM = 43788808792960/13552
LCM = 3231169480
Thus, we can understand that the LCM of 283,674,385,616,968 is 3231169480.
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FAQs on LCM of 283, 674, 385, 616, 968
1. What is the LCM of 283, 674, 385, 616, 968?
Answer: LCM of 283, 674, 385, 616, 968 is 3231169480.
2. How to calculate the LCM of 283, 674, 385, 616, 968?
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 283, 674, 385, 616, 968.
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}.