LCM of 722, 554, 921, 930, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 554, 921, 930, 467 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, 554, 921, 930, 467. So, keep reading to learn more.
Given numbers are 722,554,921,930,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,554,921,930,467 is 13332917000490.
Find LCM of 722,554,921,930,467 with Prime Factorization
| 2 | 722, 554, 921, 930, 467 |
| 3 | 361, 277, 921, 465, 467 |
| 361, 277, 307, 155, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 361 x 277 x 307 x 155 x 467 = 13332917000490
Therefore, the lowest common multiple of 722,554,921,930,467 is 13332917000490.
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 554 x 921 x 930 x 467 = 159995004005880
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
554 : 1, 2, 277, 554
921 : 1, 3, 307, 921
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,554,921,930,467, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
554:2x 277
921:3x 307
930:2x 3x 5x 31
467:467
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 3 = 12
Therefore, the value for common factors is 12.
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 = 159995004005880/(1x12)
LCM = 159995004005880/12
LCM = 13332917000490
Thus, we can understand that the LCM of 722,554,921,930,467 is 13332917000490.
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FAQs on LCM of 722, 554, 921, 930, 467
1. What is the LCM of 722, 554, 921, 930, 467?
Answer: LCM of 722, 554, 921, 930, 467 is 13332917000490.
2. How to calculate the LCM of 722, 554, 921, 930, 467?
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, 554, 921, 930, 467.
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}.