LCM of 813, 749, 844, 754, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 749, 844, 754, 260 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 813, 749, 844, 754, 260. So, keep reading to learn more.
Given numbers are 813,749,844,754,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,749,844,754,260 is 968782230780.
Find LCM of 813,749,844,754,260 with Prime Factorization
| 2 | 813, 749, 844, 754, 260 |
| 2 | 813, 749, 422, 377, 130 |
| 13 | 813, 749, 211, 377, 65 |
| 813, 749, 211, 29, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 813 x 749 x 211 x 29 x 5 = 968782230780
Therefore, the lowest common multiple of 813,749,844,754,260 is 968782230780.
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.
813 x 749 x 844 x 754 x 260 = 100753352001120
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.
813 : 1, 3, 271, 813
749 : 1, 7, 107, 749
844 : 1, 2, 4, 211, 422, 844
754 : 1, 2, 13, 26, 29, 58, 377, 754
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,749,844,754,260, is 1.
Now, the common factors can be found like this.
813:3x 271
749:7x 107
844:2x 2x 211
754:2x 13x 29
260:2x 2x 5x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 100753352001120/(1x104)
LCM = 100753352001120/104
LCM = 968782230780
Thus, we can understand that the LCM of 813,749,844,754,260 is 968782230780.
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FAQs on LCM of 813, 749, 844, 754, 260
1. What is the LCM of 813, 749, 844, 754, 260?
Answer: LCM of 813, 749, 844, 754, 260 is 968782230780.
2. How to calculate the LCM of 813, 749, 844, 754, 260?
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 813, 749, 844, 754, 260.
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}.