LCM of 213, 314, 142, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 314, 142, 513 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 213, 314, 142, 513. So, keep reading to learn more.
Given numbers are 213,314,142,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,314,142,513 is 11436822.
Find LCM of 213,314,142,513 with Prime Factorization
| 2 | 213, 314, 142, 513 |
| 3 | 213, 157, 71, 513 |
| 71 | 71, 157, 71, 171 |
| 1, 157, 1, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 1 x 157 x 1 x 171 = 11436822
Therefore, the lowest common multiple of 213,314,142,513 is 11436822.
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.
213 x 314 x 142 x 513 = 4872086172
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.
213 : 1, 3, 71, 213
314 : 1, 2, 157, 314
142 : 1, 2, 71, 142
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,314,142,513, is 1.
Now, the common factors can be found like this.
213:3x 71
314:2x 157
142:2x 71
513:3x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 71 = 426
Therefore, the value for common factors is 426.
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 = 4872086172/(1x426)
LCM = 4872086172/426
LCM = 11436822
Thus, we can understand that the LCM of 213,314,142,513 is 11436822.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 213, 314, 142, 513
1. What is the LCM of 213, 314, 142, 513?
Answer: LCM of 213, 314, 142, 513 is 11436822.
2. How to calculate the LCM of 213, 314, 142, 513?
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 213, 314, 142, 513.
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}.