LCM of 722, 423, 361, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 423, 361, 905 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, 423, 361, 905. So, keep reading to learn more.
Given numbers are 722,423,361,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,423,361,905 is 276392430.
Find LCM of 722,423,361,905 with Prime Factorization
| 19 | 722, 423, 361, 905 |
| 19 | 38, 423, 19, 905 |
| 2, 423, 1, 905 |
Multiply the prime numbers at the bottom and the left side.
19 x 19 x 2 x 423 x 1 x 905 = 276392430
Therefore, the lowest common multiple of 722,423,361,905 is 276392430.
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 423 x 361 x 905 = 99777667230
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
423 : 1, 3, 9, 47, 141, 423
361 : 1, 19, 361
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,423,361,905, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
423:3x 3x 47
361:19x 19
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 19 = 361
Therefore, the value for common factors is 361.
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 = 99777667230/(1x361)
LCM = 99777667230/361
LCM = 276392430
Thus, we can understand that the LCM of 722,423,361,905 is 276392430.
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FAQs on LCM of 722, 423, 361, 905
1. What is the LCM of 722, 423, 361, 905?
Answer: LCM of 722, 423, 361, 905 is 276392430.
2. How to calculate the LCM of 722, 423, 361, 905?
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, 423, 361, 905.
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}.