LCM of 722, 220, 390, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 220, 390, 936 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, 220, 390, 936. So, keep reading to learn more.
Given numbers are 722,220,390,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,220,390,936 is 18584280.
Find LCM of 722,220,390,936 with Prime Factorization
| 2 | 722, 220, 390, 936 |
| 2 | 361, 110, 195, 468 |
| 3 | 361, 55, 195, 234 |
| 5 | 361, 55, 65, 78 |
| 13 | 361, 11, 13, 78 |
| 361, 11, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 361 x 11 x 1 x 6 = 18584280
Therefore, the lowest common multiple of 722,220,390,936 is 18584280.
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 220 x 390 x 936 = 57982953600
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
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,220,390,936, is 2.
Now, the common factors can be found like this.
722:2x 19x 19
220:2x 2x 5x 11
390:2x 3x 5x 13
936:2x 2x 2x 3x 3x 13
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 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 57982953600/(2x1560)
LCM = 57982953600/3120
LCM = 18584280
Thus, we can understand that the LCM of 722,220,390,936 is 18584280.
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FAQs on LCM of 722, 220, 390, 936
1. What is the LCM of 722, 220, 390, 936?
Answer: LCM of 722, 220, 390, 936 is 18584280.
2. How to calculate the LCM of 722, 220, 390, 936?
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, 220, 390, 936.
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}.