Find the LCM of 989, 678, 946, 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 989, 678, 946, 378. So, keep reading to learn more.
Given numbers are 989,678,946,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,678,946,378 is 464685606.
Find LCM of 989,678,946,378 with Prime Factorization
2 | 989, 678, 946, 378 |
3 | 989, 339, 473, 189 |
43 | 989, 113, 473, 63 |
23, 113, 11, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 23 x 113 x 11 x 63 = 464685606
Therefore, the lowest common multiple of 989,678,946,378 is 464685606.
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.
989 x 678 x 946 x 378 = 239777772696
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.
989 : 1, 23, 43, 989
678 : 1, 2, 3, 6, 113, 226, 339, 678
946 : 1, 2, 11, 22, 43, 86, 473, 946
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 989,678,946,378, is 1.
Now, the common factors can be found like this.
989:23x 43
678:2x 3x 113
946:2x 11x 43
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 3x 43 = 516
Therefore, the value for common factors is 516.
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 = 239777772696/(1x516)
LCM = 239777772696/516
LCM = 464685606
Thus, we can understand that the LCM of 989,678,946,378 is 464685606.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 678, 946, 378?
Answer: LCM of 989, 678, 946, 378 is 464685606.
2. How to calculate the LCM of 989, 678, 946, 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 989, 678, 946, 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}.