LCM of 294, 566, 972, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 566, 972, 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 294, 566, 972, 360. So, keep reading to learn more.
Given numbers are 294,566,972,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,566,972,360 is 134787240.
Find LCM of 294,566,972,360 with Prime Factorization
| 2 | 294, 566, 972, 360 |
| 2 | 147, 283, 486, 180 |
| 3 | 147, 283, 243, 90 |
| 3 | 49, 283, 81, 30 |
| 49, 283, 27, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 49 x 283 x 27 x 10 = 134787240
Therefore, the lowest common multiple of 294,566,972,360 is 134787240.
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.
294 x 566 x 972 x 360 = 58228087680
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
566 : 1, 2, 283, 566
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,566,972,360, is 2.
Now, the common factors can be found like this.
294:2x 3x 7x 7
566:2x 283
972:2x 2x 3x 3x 3x 3x 3
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 58228087680/(2x216)
LCM = 58228087680/432
LCM = 134787240
Thus, we can understand that the LCM of 294,566,972,360 is 134787240.
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FAQs on LCM of 294, 566, 972, 360
1. What is the LCM of 294, 566, 972, 360?
Answer: LCM of 294, 566, 972, 360 is 134787240.
2. How to calculate the LCM of 294, 566, 972, 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 294, 566, 972, 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}.