LCM of 741, 749, 361, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 749, 361, 484 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 741, 749, 361, 484. So, keep reading to learn more.
Given numbers are 741,749,361,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,749,361,484 is 5103862764.
Find LCM of 741,749,361,484 with Prime Factorization
| 19 | 741, 749, 361, 484 |
| 39, 749, 19, 484 |
Multiply the prime numbers at the bottom and the left side.
19 x 39 x 749 x 19 x 484 = 5103862764
Therefore, the lowest common multiple of 741,749,361,484 is 5103862764.
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.
741 x 749 x 361 x 484 = 96973392516
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
749 : 1, 7, 107, 749
361 : 1, 19, 361
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,749,361,484, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
749:7x 107
361:19x 19
484:2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 96973392516/(1x19)
LCM = 96973392516/19
LCM = 5103862764
Thus, we can understand that the LCM of 741,749,361,484 is 5103862764.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 749, 361, 484
1. What is the LCM of 741, 749, 361, 484?
Answer: LCM of 741, 749, 361, 484 is 5103862764.
2. How to calculate the LCM of 741, 749, 361, 484?
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 741, 749, 361, 484.
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}.