LCM of 260, 780, 543, 126, 113
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 780, 543, 126, 113 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 260, 780, 543, 126, 113. So, keep reading to learn more.
Given numbers are 260,780,543,126,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,780,543,126,113 is 335020140.
Find LCM of 260,780,543,126,113 with Prime Factorization
| 2 | 260, 780, 543, 126, 113 |
| 2 | 130, 390, 543, 63, 113 |
| 3 | 65, 195, 543, 63, 113 |
| 5 | 65, 65, 181, 21, 113 |
| 13 | 13, 13, 181, 21, 113 |
| 1, 1, 181, 21, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 1 x 181 x 21 x 113 = 335020140
Therefore, the lowest common multiple of 260,780,543,126,113 is 335020140.
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.
260 x 780 x 543 x 126 x 113 = 1567894255200
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
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
543 : 1, 3, 181, 543
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,780,543,126,113, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
780:2x 2x 3x 5x 13
543:3x 181
126:2x 3x 3x 7
113:113
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 3x 5x 13 = 4680
Therefore, the value for common factors is 4680.
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 = 1567894255200/(1x4680)
LCM = 1567894255200/4680
LCM = 335020140
Thus, we can understand that the LCM of 260,780,543,126,113 is 335020140.
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FAQs on LCM of 260, 780, 543, 126, 113
1. What is the LCM of 260, 780, 543, 126, 113?
Answer: LCM of 260, 780, 543, 126, 113 is 335020140.
2. How to calculate the LCM of 260, 780, 543, 126, 113?
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 260, 780, 543, 126, 113.
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}.