LCM of 649, 526, 672, 713, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 526, 672, 713, 414 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 649, 526, 672, 713, 414. So, keep reading to learn more.
Given numbers are 649,526,672,713,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,526,672,713,414 is 245346859296.
Find LCM of 649,526,672,713,414 with Prime Factorization
| 2 | 649, 526, 672, 713, 414 |
| 3 | 649, 263, 336, 713, 207 |
| 23 | 649, 263, 112, 713, 69 |
| 649, 263, 112, 31, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 649 x 263 x 112 x 31 x 3 = 245346859296
Therefore, the lowest common multiple of 649,526,672,713,414 is 245346859296.
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.
649 x 526 x 672 x 713 x 414 = 67715733165696
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.
649 : 1, 11, 59, 649
526 : 1, 2, 263, 526
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
713 : 1, 23, 31, 713
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,526,672,713,414, is 1.
Now, the common factors can be found like this.
649:11x 59
526:2x 263
672:2x 2x 2x 2x 2x 3x 7
713:23x 31
414:2x 3x 3x 23
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 23 = 276
Therefore, the value for common factors is 276.
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 = 67715733165696/(1x276)
LCM = 67715733165696/276
LCM = 245346859296
Thus, we can understand that the LCM of 649,526,672,713,414 is 245346859296.
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FAQs on LCM of 649, 526, 672, 713, 414
1. What is the LCM of 649, 526, 672, 713, 414?
Answer: LCM of 649, 526, 672, 713, 414 is 245346859296.
2. How to calculate the LCM of 649, 526, 672, 713, 414?
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 649, 526, 672, 713, 414.
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}.