LCM of 269, 710, 979, 555, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 710, 979, 555, 360 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 269, 710, 979, 555, 360. So, keep reading to learn more.
Given numbers are 269,710,979,555,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,710,979,555,360 is 249056307720.
Find LCM of 269,710,979,555,360 with Prime Factorization
| 2 | 269, 710, 979, 555, 360 |
| 3 | 269, 355, 979, 555, 180 |
| 5 | 269, 355, 979, 185, 60 |
| 269, 71, 979, 37, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 269 x 71 x 979 x 37 x 12 = 249056307720
Therefore, the lowest common multiple of 269,710,979,555,360 is 249056307720.
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.
269 x 710 x 979 x 555 x 360 = 37358446158000
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.
269 : 1, 269
710 : 1, 2, 5, 10, 71, 142, 355, 710
979 : 1, 11, 89, 979
555 : 1, 3, 5, 15, 37, 111, 185, 555
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,710,979,555,360, is 1.
Now, the common factors can be found like this.
269:269
710:2x 5x 71
979:11x 89
555:3x 5x 37
360:2x 2x 2x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 37358446158000/(1x150)
LCM = 37358446158000/150
LCM = 249056307720
Thus, we can understand that the LCM of 269,710,979,555,360 is 249056307720.
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FAQs on LCM of 269, 710, 979, 555, 360
1. What is the LCM of 269, 710, 979, 555, 360?
Answer: LCM of 269, 710, 979, 555, 360 is 249056307720.
2. How to calculate the LCM of 269, 710, 979, 555, 360?
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 269, 710, 979, 555, 360.
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}.