Find the LCM of 658, 300, 968, 141, 378 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 658, 300, 968, 141, 378. So, keep reading to learn more.
Given numbers are 658,300,968,141,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,300,968,141,378 is 214968600.
Find LCM of 658,300,968,141,378 with Prime Factorization
2 | 658, 300, 968, 141, 378 |
2 | 329, 150, 484, 141, 189 |
3 | 329, 75, 242, 141, 189 |
7 | 329, 25, 242, 47, 63 |
47 | 47, 25, 242, 47, 9 |
1, 25, 242, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 47 x 1 x 25 x 242 x 1 x 9 = 214968600
Therefore, the lowest common multiple of 658,300,968,141,378 is 214968600.
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.
658 x 300 x 968 x 141 x 378 = 10184352393600
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
141 : 1, 3, 47, 141
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,300,968,141,378, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
300:2x 2x 3x 5x 5
968:2x 2x 2x 11x 11
141:3x 47
378:2x 3x 3x 3x 7
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 3x 7x 47 = 47376
Therefore, the value for common factors is 47376.
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 = 10184352393600/(1x47376)
LCM = 10184352393600/47376
LCM = 214968600
Thus, we can understand that the LCM of 658,300,968,141,378 is 214968600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 658, 300, 968, 141, 378?
Answer: LCM of 658, 300, 968, 141, 378 is 214968600.
2. How to calculate the LCM of 658, 300, 968, 141, 378?
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 658, 300, 968, 141, 378.
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}.