LCM of 868, 427, 602, 671, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 427, 602, 671, 220 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 868, 427, 602, 671, 220. So, keep reading to learn more.
Given numbers are 868,427,602,671,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,427,602,671,220 is 125222020.
Find LCM of 868,427,602,671,220 with Prime Factorization
| 2 | 868, 427, 602, 671, 220 |
| 2 | 434, 427, 301, 671, 110 |
| 7 | 217, 427, 301, 671, 55 |
| 11 | 31, 61, 43, 671, 55 |
| 61 | 31, 61, 43, 61, 5 |
| 31, 1, 43, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 61 x 31 x 1 x 43 x 1 x 5 = 125222020
Therefore, the lowest common multiple of 868,427,602,671,220 is 125222020.
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.
868 x 427 x 602 x 671 x 220 = 32937398364640
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
427 : 1, 7, 61, 427
602 : 1, 2, 7, 14, 43, 86, 301, 602
671 : 1, 11, 61, 671
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,427,602,671,220, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
427:7x 61
602:2x 7x 43
671:11x 61
220:2x 2x 5x 11
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 7x 7x 11x 61 = 263032
Therefore, the value for common factors is 263032.
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 = 32937398364640/(1x263032)
LCM = 32937398364640/263032
LCM = 125222020
Thus, we can understand that the LCM of 868,427,602,671,220 is 125222020.
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FAQs on LCM of 868, 427, 602, 671, 220
1. What is the LCM of 868, 427, 602, 671, 220?
Answer: LCM of 868, 427, 602, 671, 220 is 125222020.
2. How to calculate the LCM of 868, 427, 602, 671, 220?
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 868, 427, 602, 671, 220.
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}.