LCM of 524, 720, 596, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 720, 596, 378 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 524, 720, 596, 378. So, keep reading to learn more.
Given numbers are 524,720,596,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,720,596,378 is 295127280.
Find LCM of 524,720,596,378 with Prime Factorization
| 2 | 524, 720, 596, 378 |
| 2 | 262, 360, 298, 189 |
| 3 | 131, 180, 149, 189 |
| 3 | 131, 60, 149, 63 |
| 131, 20, 149, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 131 x 20 x 149 x 21 = 295127280
Therefore, the lowest common multiple of 524,720,596,378 is 295127280.
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.
524 x 720 x 596 x 378 = 84996656640
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.
524 : 1, 2, 4, 131, 262, 524
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
596 : 1, 2, 4, 149, 298, 596
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,720,596,378, is 2.
Now, the common factors can be found like this.
524:2x 2x 131
720:2x 2x 2x 2x 3x 3x 5
596:2x 2x 149
378:2x 3x 3x 3x 7
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 84996656640/(2x144)
LCM = 84996656640/288
LCM = 295127280
Thus, we can understand that the LCM of 524,720,596,378 is 295127280.
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FAQs on LCM of 524, 720, 596, 378
1. What is the LCM of 524, 720, 596, 378?
Answer: LCM of 524, 720, 596, 378 is 295127280.
2. How to calculate the LCM of 524, 720, 596, 378?
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 524, 720, 596, 378.
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}.