LCM of 868, 217, 890, 653, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 217, 890, 653, 948 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, 217, 890, 653, 948. So, keep reading to learn more.
Given numbers are 868,217,890,653,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,217,890,653,948 is 59777983860.
Find LCM of 868,217,890,653,948 with Prime Factorization
| 2 | 868, 217, 890, 653, 948 |
| 2 | 434, 217, 445, 653, 474 |
| 7 | 217, 217, 445, 653, 237 |
| 31 | 31, 31, 445, 653, 237 |
| 1, 1, 445, 653, 237 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 31 x 1 x 1 x 445 x 653 x 237 = 59777983860
Therefore, the lowest common multiple of 868,217,890,653,948 is 59777983860.
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 217 x 890 x 653 x 948 = 103774579980960
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
217 : 1, 7, 31, 217
890 : 1, 2, 5, 10, 89, 178, 445, 890
653 : 1, 653
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,217,890,653,948, is 1.
Now, the common factors can be found like this.
868:2x 2x 7x 31
217:7x 31
890:2x 5x 89
653:653
948:2x 2x 3x 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 2x 2x 7x 31 = 1736
Therefore, the value for common factors is 1736.
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 = 103774579980960/(1x1736)
LCM = 103774579980960/1736
LCM = 59777983860
Thus, we can understand that the LCM of 868,217,890,653,948 is 59777983860.
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FAQs on LCM of 868, 217, 890, 653, 948
1. What is the LCM of 868, 217, 890, 653, 948?
Answer: LCM of 868, 217, 890, 653, 948 is 59777983860.
2. How to calculate the LCM of 868, 217, 890, 653, 948?
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, 217, 890, 653, 948.
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}.