Find the LCM of 353, 722, 140, 323, 773 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 353, 722, 140, 323, 773. So, keep reading to learn more.
Given numbers are 353,722,140,323,773
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,722,140,323,773 is 234443587420.
Find LCM of 353,722,140,323,773 with Prime Factorization
2 | 353, 722, 140, 323, 773 |
19 | 353, 361, 70, 323, 773 |
353, 19, 70, 17, 773 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 353 x 19 x 70 x 17 x 773 = 234443587420
Therefore, the lowest common multiple of 353,722,140,323,773 is 234443587420.
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.
353 x 722 x 140 x 323 x 773 = 8908856321960
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.
353 : 1, 353
722 : 1, 2, 19, 38, 361, 722
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
323 : 1, 17, 19, 323
773 : 1, 773
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,722,140,323,773, is 1.
Now, the common factors can be found like this.
353:353
722:2x 19x 19
140:2x 2x 5x 7
323:17x 19
773:773
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 8908856321960/(1x38)
LCM = 8908856321960/38
LCM = 234443587420
Thus, we can understand that the LCM of 353,722,140,323,773 is 234443587420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 353, 722, 140, 323, 773?
Answer: LCM of 353, 722, 140, 323, 773 is 234443587420.
2. How to calculate the LCM of 353, 722, 140, 323, 773?
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 353, 722, 140, 323, 773.
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}.