Find the LCM of 139, 618, 103, 320 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 139, 618, 103, 320. So, keep reading to learn more.
Given numbers are 139,618,103,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,618,103,320 is 13744320.
Find LCM of 139,618,103,320 with Prime Factorization
2 | 139, 618, 103, 320 |
103 | 139, 309, 103, 160 |
139, 3, 1, 160 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 139 x 3 x 1 x 160 = 13744320
Therefore, the lowest common multiple of 139,618,103,320 is 13744320.
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.
139 x 618 x 103 x 320 = 2831329920
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.
139 : 1, 139
618 : 1, 2, 3, 6, 103, 206, 309, 618
103 : 1, 103
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,618,103,320, is 1.
Now, the common factors can be found like this.
139:139
618:2x 3x 103
103:103
320:2x 2x 2x 2x 2x 2x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 103 = 206
Therefore, the value for common factors is 206.
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 = 2831329920/(1x206)
LCM = 2831329920/206
LCM = 13744320
Thus, we can understand that the LCM of 139,618,103,320 is 13744320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 139, 618, 103, 320?
Answer: LCM of 139, 618, 103, 320 is 13744320.
2. How to calculate the LCM of 139, 618, 103, 320?
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 139, 618, 103, 320.
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}.