Find the LCM of 381, 185, 119, 692, 703 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 381, 185, 119, 692, 703. So, keep reading to learn more.
Given numbers are 381,185,119,692,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,185,119,692,703 is 110281676820.
Find LCM of 381,185,119,692,703 with Prime Factorization
37 | 381, 185, 119, 692, 703 |
381, 5, 119, 692, 19 |
Multiply the prime numbers at the bottom and the left side.
37 x 381 x 5 x 119 x 692 x 19 = 110281676820
Therefore, the lowest common multiple of 381,185,119,692,703 is 110281676820.
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.
381 x 185 x 119 x 692 x 703 = 4080422042340
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.
381 : 1, 3, 127, 381
185 : 1, 5, 37, 185
119 : 1, 7, 17, 119
692 : 1, 2, 4, 173, 346, 692
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,185,119,692,703, is 1.
Now, the common factors can be found like this.
381:3x 127
185:5x 37
119:7x 17
692:2x 2x 173
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37 = 37
Therefore, the value for common factors is 37.
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 = 4080422042340/(1x37)
LCM = 4080422042340/37
LCM = 110281676820
Thus, we can understand that the LCM of 381,185,119,692,703 is 110281676820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 185, 119, 692, 703?
Answer: LCM of 381, 185, 119, 692, 703 is 110281676820.
2. How to calculate the LCM of 381, 185, 119, 692, 703?
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 381, 185, 119, 692, 703.
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}.