LCM of 787, 572, 524, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 572, 524, 524 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 787, 572, 524, 524. So, keep reading to learn more.
Given numbers are 787,572,524,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,572,524,524 is 58971484.
Find LCM of 787,572,524,524 with Prime Factorization
| 2 | 787, 572, 524, 524 |
| 2 | 787, 286, 262, 262 |
| 131 | 787, 143, 131, 131 |
| 787, 143, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 787 x 143 x 1 x 1 = 58971484
Therefore, the lowest common multiple of 787,572,524,524 is 58971484.
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.
787 x 572 x 524 x 524 = 123604230464
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.
787 : 1, 787
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
524 : 1, 2, 4, 131, 262, 524
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,572,524,524, is 1.
Now, the common factors can be found like this.
787:787
572:2x 2x 11x 13
524:2x 2x 131
524:2x 2x 131
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 131 = 2096
Therefore, the value for common factors is 2096.
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 = 123604230464/(1x2096)
LCM = 123604230464/2096
LCM = 58971484
Thus, we can understand that the LCM of 787,572,524,524 is 58971484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 787, 572, 524, 524
1. What is the LCM of 787, 572, 524, 524?
Answer: LCM of 787, 572, 524, 524 is 58971484.
2. How to calculate the LCM of 787, 572, 524, 524?
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 787, 572, 524, 524.
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}.