LCM of 342, 478, 972, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 478, 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 342, 478, 972, 360. So, keep reading to learn more.
Given numbers are 342,478,972,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,478,972,360 is 44138520.
Find LCM of 342,478,972,360 with Prime Factorization
| 2 | 342, 478, 972, 360 |
| 2 | 171, 239, 486, 180 |
| 3 | 171, 239, 243, 90 |
| 3 | 57, 239, 81, 30 |
| 19, 239, 27, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 239 x 27 x 10 = 44138520
Therefore, the lowest common multiple of 342,478,972,360 is 44138520.
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.
342 x 478 x 972 x 360 = 57203521920
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
478 : 1, 2, 239, 478
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 342,478,972,360, is 2.
Now, the common factors can be found like this.
342:2x 3x 3x 19
478:2x 239
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 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 57203521920/(2x648)
LCM = 57203521920/1296
LCM = 44138520
Thus, we can understand that the LCM of 342,478,972,360 is 44138520.
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FAQs on LCM of 342, 478, 972, 360
1. What is the LCM of 342, 478, 972, 360?
Answer: LCM of 342, 478, 972, 360 is 44138520.
2. How to calculate the LCM of 342, 478, 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 342, 478, 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}.