LCM of 758, 966, 325, 978, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 966, 325, 978, 230 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 758, 966, 325, 978, 230. So, keep reading to learn more.
Given numbers are 758,966,325,978,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,966,325,978,230 is 19394889150.
Find LCM of 758,966,325,978,230 with Prime Factorization
| 2 | 758, 966, 325, 978, 230 |
| 3 | 379, 483, 325, 489, 115 |
| 5 | 379, 161, 325, 163, 115 |
| 23 | 379, 161, 65, 163, 23 |
| 379, 7, 65, 163, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 379 x 7 x 65 x 163 x 1 = 19394889150
Therefore, the lowest common multiple of 758,966,325,978,230 is 19394889150.
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.
758 x 966 x 325 x 978 x 230 = 53529894054000
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.
758 : 1, 2, 379, 758
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
325 : 1, 5, 13, 25, 65, 325
978 : 1, 2, 3, 6, 163, 326, 489, 978
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,966,325,978,230, is 1.
Now, the common factors can be found like this.
758:2x 379
966:2x 3x 7x 23
325:5x 5x 13
978:2x 3x 163
230:2x 5x 23
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 3x 5x 23 = 2760
Therefore, the value for common factors is 2760.
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 = 53529894054000/(1x2760)
LCM = 53529894054000/2760
LCM = 19394889150
Thus, we can understand that the LCM of 758,966,325,978,230 is 19394889150.
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FAQs on LCM of 758, 966, 325, 978, 230
1. What is the LCM of 758, 966, 325, 978, 230?
Answer: LCM of 758, 966, 325, 978, 230 is 19394889150.
2. How to calculate the LCM of 758, 966, 325, 978, 230?
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 758, 966, 325, 978, 230.
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}.