LCM of 556, 260, 297, 495, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 260, 297, 495, 702 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 556, 260, 297, 495, 702. So, keep reading to learn more.
Given numbers are 556,260,297,495,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,260,297,495,702 is 10733580.
Find LCM of 556,260,297,495,702 with Prime Factorization
| 2 | 556, 260, 297, 495, 702 |
| 2 | 278, 130, 297, 495, 351 |
| 3 | 139, 65, 297, 495, 351 |
| 3 | 139, 65, 99, 165, 117 |
| 3 | 139, 65, 33, 55, 39 |
| 5 | 139, 65, 11, 55, 13 |
| 11 | 139, 13, 11, 11, 13 |
| 13 | 139, 13, 1, 1, 13 |
| 139, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 x 139 x 1 x 1 x 1 x 1 = 10733580
Therefore, the lowest common multiple of 556,260,297,495,702 is 10733580.
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.
556 x 260 x 297 x 495 x 702 = 14919246856800
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.
556 : 1, 2, 4, 139, 278, 556
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
297 : 1, 3, 9, 11, 27, 33, 99, 297
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,260,297,495,702, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
260:2x 2x 5x 13
297:3x 3x 3x 11
495:3x 3x 5x 11
702:2x 3x 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 3x 3x 3x 3x 5x 11x 13 = 1389960
Therefore, the value for common factors is 1389960.
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 = 14919246856800/(1x1389960)
LCM = 14919246856800/1389960
LCM = 10733580
Thus, we can understand that the LCM of 556,260,297,495,702 is 10733580.
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FAQs on LCM of 556, 260, 297, 495, 702
1. What is the LCM of 556, 260, 297, 495, 702?
Answer: LCM of 556, 260, 297, 495, 702 is 10733580.
2. How to calculate the LCM of 556, 260, 297, 495, 702?
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 556, 260, 297, 495, 702.
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}.