LCM of 210, 520, 403, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 520, 403, 869 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 210, 520, 403, 869. So, keep reading to learn more.
Given numbers are 210,520,403,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,520,403,869 is 294173880.
Find LCM of 210,520,403,869 with Prime Factorization
| 2 | 210, 520, 403, 869 |
| 5 | 105, 260, 403, 869 |
| 13 | 21, 52, 403, 869 |
| 21, 4, 31, 869 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 21 x 4 x 31 x 869 = 294173880
Therefore, the lowest common multiple of 210,520,403,869 is 294173880.
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.
210 x 520 x 403 x 869 = 38242604400
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
403 : 1, 13, 31, 403
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,520,403,869, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
520:2x 2x 2x 5x 13
403:13x 31
869:11x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 38242604400/(1x130)
LCM = 38242604400/130
LCM = 294173880
Thus, we can understand that the LCM of 210,520,403,869 is 294173880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 210, 520, 403, 869
1. What is the LCM of 210, 520, 403, 869?
Answer: LCM of 210, 520, 403, 869 is 294173880.
2. How to calculate the LCM of 210, 520, 403, 869?
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 210, 520, 403, 869.
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}.