Find the LCM of 753, 174, 982, 283, 761 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 753, 174, 982, 283, 761. So, keep reading to learn more.
Given numbers are 753,174,982,283,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,174,982,283,761 is 4618229958042.
Find LCM of 753,174,982,283,761 with Prime Factorization
2 | 753, 174, 982, 283, 761 |
3 | 753, 87, 491, 283, 761 |
251, 29, 491, 283, 761 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 251 x 29 x 491 x 283 x 761 = 4618229958042
Therefore, the lowest common multiple of 753,174,982,283,761 is 4618229958042.
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.
753 x 174 x 982 x 283 x 761 = 27709379748252
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.
753 : 1, 3, 251, 753
174 : 1, 2, 3, 6, 29, 58, 87, 174
982 : 1, 2, 491, 982
283 : 1, 283
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,174,982,283,761, is 1.
Now, the common factors can be found like this.
753:3x 251
174:2x 3x 29
982:2x 491
283:283
761:761
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 27709379748252/(1x6)
LCM = 27709379748252/6
LCM = 4618229958042
Thus, we can understand that the LCM of 753,174,982,283,761 is 4618229958042.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 753, 174, 982, 283, 761?
Answer: LCM of 753, 174, 982, 283, 761 is 4618229958042.
2. How to calculate the LCM of 753, 174, 982, 283, 761?
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 753, 174, 982, 283, 761.
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}.