LCM of 117, 105, 105, 620, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 105, 105, 620, 780 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 117, 105, 105, 620, 780. So, keep reading to learn more.
Given numbers are 117,105,105,620,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,105,105,620,780 is 507780.
Find LCM of 117,105,105,620,780 with Prime Factorization
| 2 | 117, 105, 105, 620, 780 |
| 2 | 117, 105, 105, 310, 390 |
| 3 | 117, 105, 105, 155, 195 |
| 5 | 39, 35, 35, 155, 65 |
| 7 | 39, 7, 7, 31, 13 |
| 13 | 39, 1, 1, 31, 13 |
| 3, 1, 1, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 3 x 1 x 1 x 31 x 1 = 507780
Therefore, the lowest common multiple of 117,105,105,620,780 is 507780.
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.
117 x 105 x 105 x 620 x 780 = 623807730000
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.
117 : 1, 3, 9, 13, 39, 117
105 : 1, 3, 5, 7, 15, 21, 35, 105
105 : 1, 3, 5, 7, 15, 21, 35, 105
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,105,105,620,780, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
105:3x 5x 7
105:3x 5x 7
620:2x 2x 5x 31
780:2x 2x 3x 5x 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 3x 3x 3x 5x 5x 5x 7x 13 = 1228500
Therefore, the value for common factors is 1228500.
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 = 623807730000/(1x1228500)
LCM = 623807730000/1228500
LCM = 507780
Thus, we can understand that the LCM of 117,105,105,620,780 is 507780.
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FAQs on LCM of 117, 105, 105, 620, 780
1. What is the LCM of 117, 105, 105, 620, 780?
Answer: LCM of 117, 105, 105, 620, 780 is 507780.
2. How to calculate the LCM of 117, 105, 105, 620, 780?
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 117, 105, 105, 620, 780.
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}.