Find the LCM of 190, 921, 167, 767, 931 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 190, 921, 167, 767, 931. So, keep reading to learn more.
Given numbers are 190,921,167,767,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,921,167,767,931 is 1098300411390.
Find LCM of 190,921,167,767,931 with Prime Factorization
19 | 190, 921, 167, 767, 931 |
10, 921, 167, 767, 49 |
Multiply the prime numbers at the bottom and the left side.
19 x 10 x 921 x 167 x 767 x 49 = 1098300411390
Therefore, the lowest common multiple of 190,921,167,767,931 is 1098300411390.
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.
190 x 921 x 167 x 767 x 931 = 20867707816410
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
921 : 1, 3, 307, 921
167 : 1, 167
767 : 1, 13, 59, 767
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,921,167,767,931, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
921:3x 307
167:167
767:13x 59
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 20867707816410/(1x19)
LCM = 20867707816410/19
LCM = 1098300411390
Thus, we can understand that the LCM of 190,921,167,767,931 is 1098300411390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 190, 921, 167, 767, 931?
Answer: LCM of 190, 921, 167, 767, 931 is 1098300411390.
2. How to calculate the LCM of 190, 921, 167, 767, 931?
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 190, 921, 167, 767, 931.
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}.