LCM of 213, 865, 668, 420, 124
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 865, 668, 420, 124 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, 865, 668, 420, 124. So, keep reading to learn more.
Given numbers are 213,865,668,420,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,865,668,420,124 is 26707418220.
Find LCM of 213,865,668,420,124 with Prime Factorization
| 2 | 213, 865, 668, 420, 124 |
| 2 | 213, 865, 334, 210, 62 |
| 3 | 213, 865, 167, 105, 31 |
| 5 | 71, 865, 167, 35, 31 |
| 71, 173, 167, 7, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 71 x 173 x 167 x 7 x 31 = 26707418220
Therefore, the lowest common multiple of 213,865,668,420,124 is 26707418220.
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 865 x 668 x 420 x 124 = 6409780372800
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
865 : 1, 5, 173, 865
668 : 1, 2, 4, 167, 334, 668
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,865,668,420,124, is 1.
Now, the common factors can be found like this.
213:3x 71
865:5x 173
668:2x 2x 167
420:2x 2x 3x 5x 7
124:2x 2x 31
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 6409780372800/(1x240)
LCM = 6409780372800/240
LCM = 26707418220
Thus, we can understand that the LCM of 213,865,668,420,124 is 26707418220.
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FAQs on LCM of 213, 865, 668, 420, 124
1. What is the LCM of 213, 865, 668, 420, 124?
Answer: LCM of 213, 865, 668, 420, 124 is 26707418220.
2. How to calculate the LCM of 213, 865, 668, 420, 124?
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, 865, 668, 420, 124.
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}.