LCM of 780, 922, 205, 175, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 922, 205, 175, 420 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 780, 922, 205, 175, 420. So, keep reading to learn more.
Given numbers are 780,922,205,175,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,922,205,175,420 is 515997300.
Find LCM of 780,922,205,175,420 with Prime Factorization
| 2 | 780, 922, 205, 175, 420 |
| 2 | 390, 461, 205, 175, 210 |
| 3 | 195, 461, 205, 175, 105 |
| 5 | 65, 461, 205, 175, 35 |
| 7 | 13, 461, 41, 7, 35 |
| 13, 461, 41, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 461 x 41 x 1 x 5 = 515997300
Therefore, the lowest common multiple of 780,922,205,175,420 is 515997300.
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.
780 x 922 x 205 x 175 x 420 = 10835943300000
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
922 : 1, 2, 461, 922
205 : 1, 5, 41, 205
175 : 1, 5, 7, 25, 35, 175
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,922,205,175,420, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
922:2x 461
205:5x 41
175:5x 5x 7
420:2x 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 5x 5x 5x 7 = 21000
Therefore, the value for common factors is 21000.
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 = 10835943300000/(1x21000)
LCM = 10835943300000/21000
LCM = 515997300
Thus, we can understand that the LCM of 780,922,205,175,420 is 515997300.
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FAQs on LCM of 780, 922, 205, 175, 420
1. What is the LCM of 780, 922, 205, 175, 420?
Answer: LCM of 780, 922, 205, 175, 420 is 515997300.
2. How to calculate the LCM of 780, 922, 205, 175, 420?
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 780, 922, 205, 175, 420.
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}.