LCM of 774, 349, 699, 875, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 349, 699, 875, 989 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, 349, 699, 875, 989. So, keep reading to learn more.
Given numbers are 774,349,699,875,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,349,699,875,989 is 1266654579750.
Find LCM of 774,349,699,875,989 with Prime Factorization
| 3 | 774, 349, 699, 875, 989 |
| 43 | 258, 349, 233, 875, 989 |
| 6, 349, 233, 875, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 6 x 349 x 233 x 875 x 23 = 1266654579750
Therefore, the lowest common multiple of 774,349,699,875,989 is 1266654579750.
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 349 x 699 x 875 x 989 = 163398440787750
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
349 : 1, 349
699 : 1, 3, 233, 699
875 : 1, 5, 7, 25, 35, 125, 175, 875
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,349,699,875,989, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
349:349
699:3x 233
875:5x 5x 5x 7
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 43 = 129
Therefore, the value for common factors is 129.
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 = 163398440787750/(1x129)
LCM = 163398440787750/129
LCM = 1266654579750
Thus, we can understand that the LCM of 774,349,699,875,989 is 1266654579750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 774, 349, 699, 875, 989
1. What is the LCM of 774, 349, 699, 875, 989?
Answer: LCM of 774, 349, 699, 875, 989 is 1266654579750.
2. How to calculate the LCM of 774, 349, 699, 875, 989?
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, 349, 699, 875, 989.
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}.