LCM of 341, 651, 456, 722, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 651, 456, 722, 840 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, 651, 456, 722, 840. So, keep reading to learn more.
Given numbers are 341,651,456,722,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,651,456,722,840 is 103404840.
Find LCM of 341,651,456,722,840 with Prime Factorization
| 2 | 341, 651, 456, 722, 840 |
| 2 | 341, 651, 228, 361, 420 |
| 2 | 341, 651, 114, 361, 210 |
| 3 | 341, 651, 57, 361, 105 |
| 7 | 341, 217, 19, 361, 35 |
| 19 | 341, 31, 19, 361, 5 |
| 31 | 341, 31, 1, 19, 5 |
| 11, 1, 1, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 19 x 31 x 11 x 1 x 1 x 19 x 5 = 103404840
Therefore, the lowest common multiple of 341,651,456,722,840 is 103404840.
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 651 x 456 x 722 x 840 = 61392694366080
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
651 : 1, 3, 7, 21, 31, 93, 217, 651
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
722 : 1, 2, 19, 38, 361, 722
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,651,456,722,840, is 1.
Now, the common factors can be found like this.
341:11x 31
651:3x 7x 31
456:2x 2x 2x 3x 19
722:2x 19x 19
840:2x 2x 2x 3x 5x 7
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 3x 7x 19x 31 = 593712
Therefore, the value for common factors is 593712.
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 = 61392694366080/(1x593712)
LCM = 61392694366080/593712
LCM = 103404840
Thus, we can understand that the LCM of 341,651,456,722,840 is 103404840.
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FAQs on LCM of 341, 651, 456, 722, 840
1. What is the LCM of 341, 651, 456, 722, 840?
Answer: LCM of 341, 651, 456, 722, 840 is 103404840.
2. How to calculate the LCM of 341, 651, 456, 722, 840?
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, 651, 456, 722, 840.
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}.