LCM of 978, 652, 965, 646, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 652, 965, 646, 241 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 978, 652, 965, 646, 241. So, keep reading to learn more.
Given numbers are 978,652,965,646,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,652,965,646,241 is 146931776220.
Find LCM of 978,652,965,646,241 with Prime Factorization
| 2 | 978, 652, 965, 646, 241 |
| 163 | 489, 326, 965, 323, 241 |
| 3, 2, 965, 323, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 163 x 3 x 2 x 965 x 323 x 241 = 146931776220
Therefore, the lowest common multiple of 978,652,965,646,241 is 146931776220.
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.
978 x 652 x 965 x 646 x 241 = 95799518095440
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
652 : 1, 2, 4, 163, 326, 652
965 : 1, 5, 193, 965
646 : 1, 2, 17, 19, 34, 38, 323, 646
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,652,965,646,241, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
652:2x 2x 163
965:5x 193
646:2x 17x 19
241:241
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 163 = 652
Therefore, the value for common factors is 652.
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 = 95799518095440/(1x652)
LCM = 95799518095440/652
LCM = 146931776220
Thus, we can understand that the LCM of 978,652,965,646,241 is 146931776220.
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FAQs on LCM of 978, 652, 965, 646, 241
1. What is the LCM of 978, 652, 965, 646, 241?
Answer: LCM of 978, 652, 965, 646, 241 is 146931776220.
2. How to calculate the LCM of 978, 652, 965, 646, 241?
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 978, 652, 965, 646, 241.
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}.