LCM of 386, 507, 524, 883
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 386, 507, 524, 883 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 386, 507, 524, 883. So, keep reading to learn more.
Given numbers are 386,507,524,883
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 386,507,524,883 is 45274874892.
Find LCM of 386,507,524,883 with Prime Factorization
| 2 | 386, 507, 524, 883 |
| 193, 507, 262, 883 |
Multiply the prime numbers at the bottom and the left side.
2 x 193 x 507 x 262 x 883 = 45274874892
Therefore, the lowest common multiple of 386,507,524,883 is 45274874892.
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.
386 x 507 x 524 x 883 = 90549749784
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.
386 : 1, 2, 193, 386
507 : 1, 3, 13, 39, 169, 507
524 : 1, 2, 4, 131, 262, 524
883 : 1, 883
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,507,524,883, is 1.
Now, the common factors can be found like this.
386:2x 193
507:3x 13x 13
524:2x 2x 131
883:883
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 90549749784/(1x2)
LCM = 90549749784/2
LCM = 45274874892
Thus, we can understand that the LCM of 386,507,524,883 is 45274874892.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 386, 507, 524, 883
1. What is the LCM of 386, 507, 524, 883?
Answer: LCM of 386, 507, 524, 883 is 45274874892.
2. How to calculate the LCM of 386, 507, 524, 883?
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 386, 507, 524, 883.
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}.