Find the LCM of 721, 849, 316, 283 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 721, 849, 316, 283. So, keep reading to learn more.
Given numbers are 721,849,316,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,849,316,283 is 193432764.
Find LCM of 721,849,316,283 with Prime Factorization
283 | 721, 849, 316, 283 |
721, 3, 316, 1 |
Multiply the prime numbers at the bottom and the left side.
283 x 721 x 3 x 316 x 1 = 193432764
Therefore, the lowest common multiple of 721,849,316,283 is 193432764.
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.
721 x 849 x 316 x 283 = 54741472212
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.
721 : 1, 7, 103, 721
849 : 1, 3, 283, 849
316 : 1, 2, 4, 79, 158, 316
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,849,316,283, is 1.
Now, the common factors can be found like this.
721:7x 103
849:3x 283
316:2x 2x 79
283:283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
283 = 283
Therefore, the value for common factors is 283.
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 = 54741472212/(1x283)
LCM = 54741472212/283
LCM = 193432764
Thus, we can understand that the LCM of 721,849,316,283 is 193432764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 849, 316, 283?
Answer: LCM of 721, 849, 316, 283 is 193432764.
2. How to calculate the LCM of 721, 849, 316, 283?
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 721, 849, 316, 283.
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}.