LCM of 360, 398, 264, 195, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 360, 398, 264, 195, 488 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 360, 398, 264, 195, 488. So, keep reading to learn more.
Given numbers are 360,398,264,195,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,398,264,195,488 is 624915720.
Find LCM of 360,398,264,195,488 with Prime Factorization
| 2 | 360, 398, 264, 195, 488 |
| 2 | 180, 199, 132, 195, 244 |
| 2 | 90, 199, 66, 195, 122 |
| 3 | 45, 199, 33, 195, 61 |
| 5 | 15, 199, 11, 65, 61 |
| 3, 199, 11, 13, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 3 x 199 x 11 x 13 x 61 = 624915720
Therefore, the lowest common multiple of 360,398,264,195,488 is 624915720.
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.
360 x 398 x 264 x 195 x 488 = 3599514547200
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.
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
398 : 1, 2, 199, 398
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
195 : 1, 3, 5, 13, 15, 39, 65, 195
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,398,264,195,488, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
398:2x 199
264:2x 2x 2x 3x 11
195:3x 5x 13
488:2x 2x 2x 61
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 2x 2x 3x 3x 5 = 5760
Therefore, the value for common factors is 5760.
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 = 3599514547200/(1x5760)
LCM = 3599514547200/5760
LCM = 624915720
Thus, we can understand that the LCM of 360,398,264,195,488 is 624915720.
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FAQs on LCM of 360, 398, 264, 195, 488
1. What is the LCM of 360, 398, 264, 195, 488?
Answer: LCM of 360, 398, 264, 195, 488 is 624915720.
2. How to calculate the LCM of 360, 398, 264, 195, 488?
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 360, 398, 264, 195, 488.
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}.