Find the LCM of 118, 173, 121, 767, 871 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 118, 173, 121, 767, 871. So, keep reading to learn more.
Given numbers are 118,173,121,767,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,173,121,767,871 is 2151451874.
Find LCM of 118,173,121,767,871 with Prime Factorization
13 | 118, 173, 121, 767, 871 |
59 | 118, 173, 121, 59, 67 |
2, 173, 121, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
13 x 59 x 2 x 173 x 121 x 1 x 67 = 2151451874
Therefore, the lowest common multiple of 118,173,121,767,871 is 2151451874.
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.
118 x 173 x 121 x 767 x 871 = 1650163587358
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.
118 : 1, 2, 59, 118
173 : 1, 173
121 : 1, 11, 121
767 : 1, 13, 59, 767
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,173,121,767,871, is 1.
Now, the common factors can be found like this.
118:2x 59
173:173
121:11x 11
767:13x 59
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 59 = 767
Therefore, the value for common factors is 767.
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 = 1650163587358/(1x767)
LCM = 1650163587358/767
LCM = 2151451874
Thus, we can understand that the LCM of 118,173,121,767,871 is 2151451874.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 118, 173, 121, 767, 871?
Answer: LCM of 118, 173, 121, 767, 871 is 2151451874.
2. How to calculate the LCM of 118, 173, 121, 767, 871?
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 118, 173, 121, 767, 871.
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}.