Find the LCM of 138, 276, 120, 596, 837 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 138, 276, 120, 596, 837. So, keep reading to learn more.
Given numbers are 138,276,120,596,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,276,120,596,837 is 114735960.
Find LCM of 138,276,120,596,837 with Prime Factorization
2 | 138, 276, 120, 596, 837 |
2 | 69, 138, 60, 298, 837 |
3 | 69, 69, 30, 149, 837 |
23 | 23, 23, 10, 149, 279 |
1, 1, 10, 149, 279 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 1 x 1 x 10 x 149 x 279 = 114735960
Therefore, the lowest common multiple of 138,276,120,596,837 is 114735960.
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.
138 x 276 x 120 x 596 x 837 = 2280032997120
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
596 : 1, 2, 4, 149, 298, 596
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,276,120,596,837, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
276:2x 2x 3x 23
120:2x 2x 2x 3x 5
596:2x 2x 149
837:3x 3x 3x 31
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 2x 3x 3x 3x 23 = 19872
Therefore, the value for common factors is 19872.
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 = 2280032997120/(1x19872)
LCM = 2280032997120/19872
LCM = 114735960
Thus, we can understand that the LCM of 138,276,120,596,837 is 114735960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 138, 276, 120, 596, 837?
Answer: LCM of 138, 276, 120, 596, 837 is 114735960.
2. How to calculate the LCM of 138, 276, 120, 596, 837?
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 138, 276, 120, 596, 837.
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}.