LCM of 246, 451, 824, 385, 691
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 451, 824, 385, 691 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 246, 451, 824, 385, 691. So, keep reading to learn more.
Given numbers are 246,451,824,385,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,451,824,385,691 is 26963179320.
Find LCM of 246,451,824,385,691 with Prime Factorization
| 2 | 246, 451, 824, 385, 691 |
| 11 | 123, 451, 412, 385, 691 |
| 41 | 123, 41, 412, 35, 691 |
| 3, 1, 412, 35, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 3 x 1 x 412 x 35 x 691 = 26963179320
Therefore, the lowest common multiple of 246,451,824,385,691 is 26963179320.
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.
246 x 451 x 824 x 385 x 691 = 24320787746640
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
451 : 1, 11, 41, 451
824 : 1, 2, 4, 8, 103, 206, 412, 824
385 : 1, 5, 7, 11, 35, 55, 77, 385
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,451,824,385,691, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
451:11x 41
824:2x 2x 2x 103
385:5x 7x 11
691:691
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 41 = 902
Therefore, the value for common factors is 902.
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 = 24320787746640/(1x902)
LCM = 24320787746640/902
LCM = 26963179320
Thus, we can understand that the LCM of 246,451,824,385,691 is 26963179320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 246, 451, 824, 385, 691
1. What is the LCM of 246, 451, 824, 385, 691?
Answer: LCM of 246, 451, 824, 385, 691 is 26963179320.
2. How to calculate the LCM of 246, 451, 824, 385, 691?
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 246, 451, 824, 385, 691.
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}.