LCM of 553, 578, 255, 160, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 578, 255, 160, 386 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 553, 578, 255, 160, 386. So, keep reading to learn more.
Given numbers are 553,578,255,160,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,578,255,160,386 is 14805446880.
Find LCM of 553,578,255,160,386 with Prime Factorization
| 2 | 553, 578, 255, 160, 386 |
| 5 | 553, 289, 255, 80, 193 |
| 17 | 553, 289, 51, 16, 193 |
| 553, 17, 3, 16, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 553 x 17 x 3 x 16 x 193 = 14805446880
Therefore, the lowest common multiple of 553,578,255,160,386 is 14805446880.
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.
553 x 578 x 255 x 160 x 386 = 5033851939200
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.
553 : 1, 7, 79, 553
578 : 1, 2, 17, 34, 289, 578
255 : 1, 3, 5, 15, 17, 51, 85, 255
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,578,255,160,386, is 1.
Now, the common factors can be found like this.
553:7x 79
578:2x 17x 17
255:3x 5x 17
160:2x 2x 2x 2x 2x 5
386:2x 193
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 5033851939200/(1x340)
LCM = 5033851939200/340
LCM = 14805446880
Thus, we can understand that the LCM of 553,578,255,160,386 is 14805446880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 553, 578, 255, 160, 386
1. What is the LCM of 553, 578, 255, 160, 386?
Answer: LCM of 553, 578, 255, 160, 386 is 14805446880.
2. How to calculate the LCM of 553, 578, 255, 160, 386?
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 553, 578, 255, 160, 386.
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}.