LCM of 241, 320, 954, 310, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 241, 320, 954, 310, 708 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 241, 320, 954, 310, 708. So, keep reading to learn more.
Given numbers are 241,320,954,310,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,320,954,310,708 is 67282032960.
Find LCM of 241,320,954,310,708 with Prime Factorization
| 2 | 241, 320, 954, 310, 708 |
| 2 | 241, 160, 477, 155, 354 |
| 3 | 241, 80, 477, 155, 177 |
| 5 | 241, 80, 159, 155, 59 |
| 241, 16, 159, 31, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 241 x 16 x 159 x 31 x 59 = 67282032960
Therefore, the lowest common multiple of 241,320,954,310,708 is 67282032960.
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.
241 x 320 x 954 x 310 x 708 = 16147687910400
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.
241 : 1, 241
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
310 : 1, 2, 5, 10, 31, 62, 155, 310
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,320,954,310,708, is 1.
Now, the common factors can be found like this.
241:241
320:2x 2x 2x 2x 2x 2x 5
954:2x 3x 3x 53
310:2x 5x 31
708:2x 2x 3x 59
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 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 16147687910400/(1x240)
LCM = 16147687910400/240
LCM = 67282032960
Thus, we can understand that the LCM of 241,320,954,310,708 is 67282032960.
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FAQs on LCM of 241, 320, 954, 310, 708
1. What is the LCM of 241, 320, 954, 310, 708?
Answer: LCM of 241, 320, 954, 310, 708 is 67282032960.
2. How to calculate the LCM of 241, 320, 954, 310, 708?
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 241, 320, 954, 310, 708.
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}.