Find the LCM of 874, 988, 600, 178, 986 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 874, 988, 600, 178, 986. So, keep reading to learn more.
Given numbers are 874,988,600,178,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,988,600,178,986 is 149559142200.
Find LCM of 874,988,600,178,986 with Prime Factorization
2 | 874, 988, 600, 178, 986 |
2 | 437, 494, 300, 89, 493 |
19 | 437, 247, 150, 89, 493 |
23, 13, 150, 89, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 23 x 13 x 150 x 89 x 493 = 149559142200
Therefore, the lowest common multiple of 874,988,600,178,986 is 149559142200.
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.
874 x 988 x 600 x 178 x 986 = 90931958457600
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
178 : 1, 2, 89, 178
986 : 1, 2, 17, 29, 34, 58, 493, 986
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,988,600,178,986, is 2.
Now, the common factors can be found like this.
874:2x 19x 23
988:2x 2x 13x 19
600:2x 2x 2x 3x 5x 5
178:2x 89
986:2x 17x 29
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 19 = 304
Therefore, the value for common factors is 304.
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 = 90931958457600/(2x304)
LCM = 90931958457600/608
LCM = 149559142200
Thus, we can understand that the LCM of 874,988,600,178,986 is 149559142200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 988, 600, 178, 986?
Answer: LCM of 874, 988, 600, 178, 986 is 149559142200.
2. How to calculate the LCM of 874, 988, 600, 178, 986?
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 874, 988, 600, 178, 986.
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}.