LCM of 254, 473, 254, 436, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 254, 473, 254, 436, 960 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 254, 473, 254, 436, 960. So, keep reading to learn more.
Given numbers are 254,473,254,436,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,473,254,436,960 is 6285829440.
Find LCM of 254,473,254,436,960 with Prime Factorization
| 2 | 254, 473, 254, 436, 960 |
| 2 | 127, 473, 127, 218, 480 |
| 127 | 127, 473, 127, 109, 240 |
| 1, 473, 1, 109, 240 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 127 x 1 x 473 x 1 x 109 x 240 = 6285829440
Therefore, the lowest common multiple of 254,473,254,436,960 is 6285829440.
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.
254 x 473 x 254 x 436 x 960 = 12772805422080
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.
254 : 1, 2, 127, 254
473 : 1, 11, 43, 473
254 : 1, 2, 127, 254
436 : 1, 2, 4, 109, 218, 436
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,473,254,436,960, is 1.
Now, the common factors can be found like this.
254:2x 127
473:11x 43
254:2x 127
436:2x 2x 109
960:2x 2x 2x 2x 2x 2x 3x 5
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 127 = 2032
Therefore, the value for common factors is 2032.
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 = 12772805422080/(1x2032)
LCM = 12772805422080/2032
LCM = 6285829440
Thus, we can understand that the LCM of 254,473,254,436,960 is 6285829440.
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FAQs on LCM of 254, 473, 254, 436, 960
1. What is the LCM of 254, 473, 254, 436, 960?
Answer: LCM of 254, 473, 254, 436, 960 is 6285829440.
2. How to calculate the LCM of 254, 473, 254, 436, 960?
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 254, 473, 254, 436, 960.
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}.