Find the LCM of 151, 760, 361, 554, 564 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 151, 760, 361, 554, 564. So, keep reading to learn more.
Given numbers are 151,760,361,554,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,760,361,554,564 is 85161445080.
Find LCM of 151,760,361,554,564 with Prime Factorization
2 | 151, 760, 361, 554, 564 |
2 | 151, 380, 361, 277, 282 |
19 | 151, 190, 361, 277, 141 |
151, 10, 19, 277, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 151 x 10 x 19 x 277 x 141 = 85161445080
Therefore, the lowest common multiple of 151,760,361,554,564 is 85161445080.
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.
151 x 760 x 361 x 554 x 564 = 12944539652160
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.
151 : 1, 151
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
361 : 1, 19, 361
554 : 1, 2, 277, 554
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,760,361,554,564, is 1.
Now, the common factors can be found like this.
151:151
760:2x 2x 2x 5x 19
361:19x 19
554:2x 277
564:2x 2x 3x 47
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 19 = 152
Therefore, the value for common factors is 152.
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 = 12944539652160/(1x152)
LCM = 12944539652160/152
LCM = 85161445080
Thus, we can understand that the LCM of 151,760,361,554,564 is 85161445080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 151, 760, 361, 554, 564?
Answer: LCM of 151, 760, 361, 554, 564 is 85161445080.
2. How to calculate the LCM of 151, 760, 361, 554, 564?
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 151, 760, 361, 554, 564.
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}.