LCM of 774, 490, 720, 602, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 490, 720, 602, 982 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 774, 490, 720, 602, 982. So, keep reading to learn more.
Given numbers are 774,490,720,602,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,490,720,602,982 is 744866640.
Find LCM of 774,490,720,602,982 with Prime Factorization
| 2 | 774, 490, 720, 602, 982 |
| 3 | 387, 245, 360, 301, 491 |
| 3 | 129, 245, 120, 301, 491 |
| 5 | 43, 245, 40, 301, 491 |
| 7 | 43, 49, 8, 301, 491 |
| 43 | 43, 7, 8, 43, 491 |
| 1, 7, 8, 1, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 43 x 1 x 7 x 8 x 1 x 491 = 744866640
Therefore, the lowest common multiple of 774,490,720,602,982 is 744866640.
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.
774 x 490 x 720 x 602 x 982 = 161427498220800
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
602 : 1, 2, 7, 14, 43, 86, 301, 602
982 : 1, 2, 491, 982
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,490,720,602,982, is 2.
Now, the common factors can be found like this.
774:2x 3x 3x 43
490:2x 5x 7x 7
720:2x 2x 2x 2x 3x 3x 5
602:2x 7x 43
982:2x 491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 5x 7x 43 = 108360
Therefore, the value for common factors is 108360.
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 = 161427498220800/(2x108360)
LCM = 161427498220800/216720
LCM = 744866640
Thus, we can understand that the LCM of 774,490,720,602,982 is 744866640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 774, 490, 720, 602, 982
1. What is the LCM of 774, 490, 720, 602, 982?
Answer: LCM of 774, 490, 720, 602, 982 is 744866640.
2. How to calculate the LCM of 774, 490, 720, 602, 982?
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 774, 490, 720, 602, 982.
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}.