Find the LCM of 942, 713, 851, 157, 444 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 942, 713, 851, 157, 444. So, keep reading to learn more.
Given numbers are 942,713,851,157,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,713,851,157,444 is 49701804.
Find LCM of 942,713,851,157,444 with Prime Factorization
2 | 942, 713, 851, 157, 444 |
3 | 471, 713, 851, 157, 222 |
23 | 157, 713, 851, 157, 74 |
37 | 157, 31, 37, 157, 74 |
157 | 157, 31, 1, 157, 2 |
1, 31, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 37 x 157 x 1 x 31 x 1 x 1 x 2 = 49701804
Therefore, the lowest common multiple of 942,713,851,157,444 is 49701804.
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.
942 x 713 x 851 x 157 x 444 = 39843053562168
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
713 : 1, 23, 31, 713
851 : 1, 23, 37, 851
157 : 1, 157
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,713,851,157,444, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
713:23x 31
851:23x 37
157:157
444:2x 2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23x 37x 157 = 801642
Therefore, the value for common factors is 801642.
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 = 39843053562168/(1x801642)
LCM = 39843053562168/801642
LCM = 49701804
Thus, we can understand that the LCM of 942,713,851,157,444 is 49701804.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 942, 713, 851, 157, 444?
Answer: LCM of 942, 713, 851, 157, 444 is 49701804.
2. How to calculate the LCM of 942, 713, 851, 157, 444?
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 942, 713, 851, 157, 444.
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}.