LCM of 524, 681, 516, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 681, 516, 156 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, 681, 516, 156. So, keep reading to learn more.
Given numbers are 524,681,516,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,681,516,156 is 199475796.
Find LCM of 524,681,516,156 with Prime Factorization
| 2 | 524, 681, 516, 156 |
| 2 | 262, 681, 258, 78 |
| 3 | 131, 681, 129, 39 |
| 131, 227, 43, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 131 x 227 x 43 x 13 = 199475796
Therefore, the lowest common multiple of 524,681,516,156 is 199475796.
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 681 x 516 x 156 = 28724514624
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
681 : 1, 3, 227, 681
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,681,516,156, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
681:3x 227
516:2x 2x 3x 43
156:2x 2x 3x 13
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 = 28724514624/(1x144)
LCM = 28724514624/144
LCM = 199475796
Thus, we can understand that the LCM of 524,681,516,156 is 199475796.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 681, 516, 156
1. What is the LCM of 524, 681, 516, 156?
Answer: LCM of 524, 681, 516, 156 is 199475796.
2. How to calculate the LCM of 524, 681, 516, 156?
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, 681, 516, 156.
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}.