LCM of 341, 414, 707, 672, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 414, 707, 672, 920 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 341, 414, 707, 672, 920. So, keep reading to learn more.
Given numbers are 341,414,707,672,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,414,707,672,920 is 7984801440.
Find LCM of 341,414,707,672,920 with Prime Factorization
| 2 | 341, 414, 707, 672, 920 |
| 2 | 341, 207, 707, 336, 460 |
| 2 | 341, 207, 707, 168, 230 |
| 3 | 341, 207, 707, 84, 115 |
| 7 | 341, 69, 707, 28, 115 |
| 23 | 341, 69, 101, 4, 115 |
| 341, 3, 101, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 23 x 341 x 3 x 101 x 4 x 5 = 7984801440
Therefore, the lowest common multiple of 341,414,707,672,920 is 7984801440.
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.
341 x 414 x 707 x 672 x 920 = 61706545528320
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.
341 : 1, 11, 31, 341
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
707 : 1, 7, 101, 707
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
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,414,707,672,920, is 1.
Now, the common factors can be found like this.
341:11x 31
414:2x 3x 3x 23
707:7x 101
672:2x 2x 2x 2x 2x 3x 7
920:2x 2x 2x 5x 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 2x 2x 3x 7x 23 = 7728
Therefore, the value for common factors is 7728.
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 = 61706545528320/(1x7728)
LCM = 61706545528320/7728
LCM = 7984801440
Thus, we can understand that the LCM of 341,414,707,672,920 is 7984801440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 341, 414, 707, 672, 920
1. What is the LCM of 341, 414, 707, 672, 920?
Answer: LCM of 341, 414, 707, 672, 920 is 7984801440.
2. How to calculate the LCM of 341, 414, 707, 672, 920?
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 341, 414, 707, 672, 920.
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}.