LCM of 983, 490, 838, 258, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 490, 838, 258, 688 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 983, 490, 838, 258, 688. So, keep reading to learn more.
Given numbers are 983,490,838,258,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,490,838,258,688 is 208277961360.
Find LCM of 983,490,838,258,688 with Prime Factorization
| 2 | 983, 490, 838, 258, 688 |
| 43 | 983, 245, 419, 129, 344 |
| 983, 245, 419, 3, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 983 x 245 x 419 x 3 x 8 = 208277961360
Therefore, the lowest common multiple of 983,490,838,258,688 is 208277961360.
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.
983 x 490 x 838 x 258 x 688 = 71647618707840
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.
983 : 1, 983
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
838 : 1, 2, 419, 838
258 : 1, 2, 3, 6, 43, 86, 129, 258
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,490,838,258,688, is 1.
Now, the common factors can be found like this.
983:983
490:2x 5x 7x 7
838:2x 419
258:2x 3x 43
688:2x 2x 2x 2x 43
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 43 = 344
Therefore, the value for common factors is 344.
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 = 71647618707840/(1x344)
LCM = 71647618707840/344
LCM = 208277961360
Thus, we can understand that the LCM of 983,490,838,258,688 is 208277961360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 983, 490, 838, 258, 688
1. What is the LCM of 983, 490, 838, 258, 688?
Answer: LCM of 983, 490, 838, 258, 688 is 208277961360.
2. How to calculate the LCM of 983, 490, 838, 258, 688?
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 983, 490, 838, 258, 688.
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}.