Find the LCM of 987, 940, 406, 247, 972 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 987, 940, 406, 247, 972. So, keep reading to learn more.
Given numbers are 987,940,406,247,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,940,406,247,972 is 11453207220.
Find LCM of 987,940,406,247,972 with Prime Factorization
2 | 987, 940, 406, 247, 972 |
2 | 987, 470, 203, 247, 486 |
3 | 987, 235, 203, 247, 243 |
7 | 329, 235, 203, 247, 81 |
47 | 47, 235, 29, 247, 81 |
1, 5, 29, 247, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 47 x 1 x 5 x 29 x 247 x 81 = 11453207220
Therefore, the lowest common multiple of 987,940,406,247,972 is 11453207220.
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.
987 x 940 x 406 x 247 x 972 = 90434524209120
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
406 : 1, 2, 7, 14, 29, 58, 203, 406
247 : 1, 13, 19, 247
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,940,406,247,972, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
940:2x 2x 5x 47
406:2x 7x 29
247:13x 19
972:2x 2x 3x 3x 3x 3x 3
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 3x 7x 47 = 7896
Therefore, the value for common factors is 7896.
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 = 90434524209120/(1x7896)
LCM = 90434524209120/7896
LCM = 11453207220
Thus, we can understand that the LCM of 987,940,406,247,972 is 11453207220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 987, 940, 406, 247, 972?
Answer: LCM of 987, 940, 406, 247, 972 is 11453207220.
2. How to calculate the LCM of 987, 940, 406, 247, 972?
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 987, 940, 406, 247, 972.
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}.