LCM of 561, 748, 152, 727, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 748, 152, 727, 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 561, 748, 152, 727, 360. So, keep reading to learn more.
Given numbers are 561,748,152,727,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,748,152,727,360 is 929891160.
Find LCM of 561,748,152,727,360 with Prime Factorization
| 2 | 561, 748, 152, 727, 360 |
| 2 | 561, 374, 76, 727, 180 |
| 2 | 561, 187, 38, 727, 90 |
| 3 | 561, 187, 19, 727, 45 |
| 11 | 187, 187, 19, 727, 15 |
| 17 | 17, 17, 19, 727, 15 |
| 1, 1, 19, 727, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 1 x 1 x 19 x 727 x 15 = 929891160
Therefore, the lowest common multiple of 561,748,152,727,360 is 929891160.
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.
561 x 748 x 152 x 727 x 360 = 16693406104320
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
152 : 1, 2, 4, 8, 19, 38, 76, 152
727 : 1, 727
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 561,748,152,727,360, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
748:2x 2x 11x 17
152:2x 2x 2x 19
727:727
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 2x 2x 2x 2x 3x 11x 17 = 17952
Therefore, the value for common factors is 17952.
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 = 16693406104320/(1x17952)
LCM = 16693406104320/17952
LCM = 929891160
Thus, we can understand that the LCM of 561,748,152,727,360 is 929891160.
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FAQs on LCM of 561, 748, 152, 727, 360
1. What is the LCM of 561, 748, 152, 727, 360?
Answer: LCM of 561, 748, 152, 727, 360 is 929891160.
2. How to calculate the LCM of 561, 748, 152, 727, 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 561, 748, 152, 727, 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}.