Find the LCM of 973, 202, 139, 638 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 973, 202, 139, 638. So, keep reading to learn more.
Given numbers are 973,202,139,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,202,139,638 is 62698174.
Find LCM of 973,202,139,638 with Prime Factorization
2 | 973, 202, 139, 638 |
139 | 973, 101, 139, 319 |
7, 101, 1, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 139 x 7 x 101 x 1 x 319 = 62698174
Therefore, the lowest common multiple of 973,202,139,638 is 62698174.
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.
973 x 202 x 139 x 638 = 17430092372
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.
973 : 1, 7, 139, 973
202 : 1, 2, 101, 202
139 : 1, 139
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,202,139,638, is 1.
Now, the common factors can be found like this.
973:7x 139
202:2x 101
139:139
638:2x 11x 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 139 = 278
Therefore, the value for common factors is 278.
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 = 17430092372/(1x278)
LCM = 17430092372/278
LCM = 62698174
Thus, we can understand that the LCM of 973,202,139,638 is 62698174.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 202, 139, 638?
Answer: LCM of 973, 202, 139, 638 is 62698174.
2. How to calculate the LCM of 973, 202, 139, 638?
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 973, 202, 139, 638.
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}.