Find the LCM of 253, 724, 869, 138 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 253, 724, 869, 138. So, keep reading to learn more.
Given numbers are 253,724,869,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,724,869,138 is 43411764.
Find LCM of 253,724,869,138 with Prime Factorization
2 | 253, 724, 869, 138 |
11 | 253, 362, 869, 69 |
23 | 23, 362, 79, 69 |
1, 362, 79, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 1 x 362 x 79 x 3 = 43411764
Therefore, the lowest common multiple of 253,724,869,138 is 43411764.
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.
253 x 724 x 869 x 138 = 21966352584
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.
253 : 1, 11, 23, 253
724 : 1, 2, 4, 181, 362, 724
869 : 1, 11, 79, 869
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,724,869,138, is 1.
Now, the common factors can be found like this.
253:11x 23
724:2x 2x 181
869:11x 79
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 23 = 506
Therefore, the value for common factors is 506.
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 = 21966352584/(1x506)
LCM = 21966352584/506
LCM = 43411764
Thus, we can understand that the LCM of 253,724,869,138 is 43411764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 724, 869, 138?
Answer: LCM of 253, 724, 869, 138 is 43411764.
2. How to calculate the LCM of 253, 724, 869, 138?
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 253, 724, 869, 138.
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}.