Find the LCM of 980, 287, 984, 953 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 980, 287, 984, 953. So, keep reading to learn more.
Given numbers are 980,287,984,953
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,287,984,953 is 229749240.
Find LCM of 980,287,984,953 with Prime Factorization
2 | 980, 287, 984, 953 |
2 | 490, 287, 492, 953 |
7 | 245, 287, 246, 953 |
41 | 35, 41, 246, 953 |
35, 1, 6, 953 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 41 x 35 x 1 x 6 x 953 = 229749240
Therefore, the lowest common multiple of 980,287,984,953 is 229749240.
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.
980 x 287 x 984 x 953 = 263752127520
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
287 : 1, 7, 41, 287
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
953 : 1, 953
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,287,984,953, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
287:7x 41
984:2x 2x 2x 3x 41
953:953
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 7x 41 = 1148
Therefore, the value for common factors is 1148.
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 = 263752127520/(1x1148)
LCM = 263752127520/1148
LCM = 229749240
Thus, we can understand that the LCM of 980,287,984,953 is 229749240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 980, 287, 984, 953?
Answer: LCM of 980, 287, 984, 953 is 229749240.
2. How to calculate the LCM of 980, 287, 984, 953?
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 980, 287, 984, 953.
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}.