LCM of 722, 838, 454, 534, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 838, 454, 534, 890 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, 838, 454, 534, 890. So, keep reading to learn more.
Given numbers are 722,838,454,534,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,838,454,534,890 is 91676567310.
Find LCM of 722,838,454,534,890 with Prime Factorization
| 2 | 722, 838, 454, 534, 890 |
| 89 | 361, 419, 227, 267, 445 |
| 361, 419, 227, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 361 x 419 x 227 x 3 x 5 = 91676567310
Therefore, the lowest common multiple of 722,838,454,534,890 is 91676567310.
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 838 x 454 x 534 x 890 = 130547431849440
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
838 : 1, 2, 419, 838
454 : 1, 2, 227, 454
534 : 1, 2, 3, 6, 89, 178, 267, 534
890 : 1, 2, 5, 10, 89, 178, 445, 890
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,838,454,534,890, is 2.
Now, the common factors can be found like this.
722:2x 19x 19
838:2x 419
454:2x 227
534:2x 3x 89
890:2x 5x 89
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 89 = 712
Therefore, the value for common factors is 712.
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 = 130547431849440/(2x712)
LCM = 130547431849440/1424
LCM = 91676567310
Thus, we can understand that the LCM of 722,838,454,534,890 is 91676567310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 838, 454, 534, 890
1. What is the LCM of 722, 838, 454, 534, 890?
Answer: LCM of 722, 838, 454, 534, 890 is 91676567310.
2. How to calculate the LCM of 722, 838, 454, 534, 890?
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, 838, 454, 534, 890.
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}.