LCM of 813, 188, 740, 108, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 188, 740, 108, 444 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, 188, 740, 108, 444. So, keep reading to learn more.
Given numbers are 813,188,740,108,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,188,740,108,444 is 254485260.
Find LCM of 813,188,740,108,444 with Prime Factorization
| 2 | 813, 188, 740, 108, 444 |
| 2 | 813, 94, 370, 54, 222 |
| 3 | 813, 47, 185, 27, 111 |
| 37 | 271, 47, 185, 9, 37 |
| 271, 47, 5, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 271 x 47 x 5 x 9 x 1 = 254485260
Therefore, the lowest common multiple of 813,188,740,108,444 is 254485260.
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 188 x 740 x 108 x 444 = 5423589861120
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
188 : 1, 2, 4, 47, 94, 188
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,188,740,108,444, is 1.
Now, the common factors can be found like this.
813:3x 271
188:2x 2x 47
740:2x 2x 5x 37
108:2x 2x 3x 3x 3
444:2x 2x 3x 37
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 2x 2x 2x 3x 3x 37 = 21312
Therefore, the value for common factors is 21312.
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 = 5423589861120/(1x21312)
LCM = 5423589861120/21312
LCM = 254485260
Thus, we can understand that the LCM of 813,188,740,108,444 is 254485260.
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FAQs on LCM of 813, 188, 740, 108, 444
1. What is the LCM of 813, 188, 740, 108, 444?
Answer: LCM of 813, 188, 740, 108, 444 is 254485260.
2. How to calculate the LCM of 813, 188, 740, 108, 444?
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, 188, 740, 108, 444.
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}.