Find the LCM of 254, 528, 598, 350, 968 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, 528, 598, 350, 968. So, keep reading to learn more.
Given numbers are 254,528,598,350,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,528,598,350,968 is 38595757200.
Find LCM of 254,528,598,350,968 with Prime Factorization
2 | 254, 528, 598, 350, 968 |
2 | 127, 264, 299, 175, 484 |
2 | 127, 132, 299, 175, 242 |
11 | 127, 66, 299, 175, 121 |
127, 6, 299, 175, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 127 x 6 x 299 x 175 x 11 = 38595757200
Therefore, the lowest common multiple of 254,528,598,350,968 is 38595757200.
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 528 x 598 x 350 x 968 = 27171413068800
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
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
598 : 1, 2, 13, 23, 26, 46, 299, 598
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,528,598,350,968, is 2.
Now, the common factors can be found like this.
254:2x 127
528:2x 2x 2x 2x 3x 11
598:2x 13x 23
350:2x 5x 5x 7
968:2x 2x 2x 11x 11
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 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 27171413068800/(2x352)
LCM = 27171413068800/704
LCM = 38595757200
Thus, we can understand that the LCM of 254,528,598,350,968 is 38595757200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 254, 528, 598, 350, 968?
Answer: LCM of 254, 528, 598, 350, 968 is 38595757200.
2. How to calculate the LCM of 254, 528, 598, 350, 968?
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, 528, 598, 350, 968.
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}.