LCM of 524, 178, 724, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 178, 724, 388 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, 178, 724, 388. So, keep reading to learn more.
Given numbers are 524,178,724,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,178,724,388 is 818788252.
Find LCM of 524,178,724,388 with Prime Factorization
| 2 | 524, 178, 724, 388 |
| 2 | 262, 89, 362, 194 |
| 131, 89, 181, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 131 x 89 x 181 x 97 = 818788252
Therefore, the lowest common multiple of 524,178,724,388 is 818788252.
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 178 x 724 x 388 = 26201224064
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
178 : 1, 2, 89, 178
724 : 1, 2, 4, 181, 362, 724
388 : 1, 2, 4, 97, 194, 388
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,178,724,388, is 2.
Now, the common factors can be found like this.
524:2x 2x 131
178:2x 89
724:2x 2x 181
388:2x 2x 97
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 2 = 16
Therefore, the value for common factors is 16.
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 = 26201224064/(2x16)
LCM = 26201224064/32
LCM = 818788252
Thus, we can understand that the LCM of 524,178,724,388 is 818788252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 524, 178, 724, 388
1. What is the LCM of 524, 178, 724, 388?
Answer: LCM of 524, 178, 724, 388 is 818788252.
2. How to calculate the LCM of 524, 178, 724, 388?
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, 178, 724, 388.
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}.