LCM of 722, 969, 978, 434, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 969, 978, 434, 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 722, 969, 978, 434, 840. So, keep reading to learn more.
Given numbers are 722,969,978,434,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,969,978,434,840 is 26048619240.
Find LCM of 722,969,978,434,840 with Prime Factorization
| 2 | 722, 969, 978, 434, 840 |
| 3 | 361, 969, 489, 217, 420 |
| 7 | 361, 323, 163, 217, 140 |
| 19 | 361, 323, 163, 31, 20 |
| 19, 17, 163, 31, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 19 x 17 x 163 x 31 x 20 = 26048619240
Therefore, the lowest common multiple of 722,969,978,434,840 is 26048619240.
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.
722 x 969 x 978 x 434 x 840 = 249441577842240
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.
722 : 1, 2, 19, 38, 361, 722
969 : 1, 3, 17, 19, 51, 57, 323, 969
978 : 1, 2, 3, 6, 163, 326, 489, 978
434 : 1, 2, 7, 14, 31, 62, 217, 434
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 722,969,978,434,840, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
969:3x 17x 19
978:2x 3x 163
434:2x 7x 31
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 3x 3x 7x 19 = 9576
Therefore, the value for common factors is 9576.
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 = 249441577842240/(1x9576)
LCM = 249441577842240/9576
LCM = 26048619240
Thus, we can understand that the LCM of 722,969,978,434,840 is 26048619240.
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FAQs on LCM of 722, 969, 978, 434, 840
1. What is the LCM of 722, 969, 978, 434, 840?
Answer: LCM of 722, 969, 978, 434, 840 is 26048619240.
2. How to calculate the LCM of 722, 969, 978, 434, 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 722, 969, 978, 434, 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}.