LCM of 491, 745, 100, 305, 555
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 745, 100, 305, 555 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 491, 745, 100, 305, 555. So, keep reading to learn more.
Given numbers are 491,745,100,305,555
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,745,100,305,555 is 49535958900.
Find LCM of 491,745,100,305,555 with Prime Factorization
| 5 | 491, 745, 100, 305, 555 |
| 491, 149, 20, 61, 111 |
Multiply the prime numbers at the bottom and the left side.
5 x 491 x 149 x 20 x 61 x 111 = 49535958900
Therefore, the lowest common multiple of 491,745,100,305,555 is 49535958900.
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.
491 x 745 x 100 x 305 x 555 = 6191994862500
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.
491 : 1, 491
745 : 1, 5, 149, 745
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
305 : 1, 5, 61, 305
555 : 1, 3, 5, 15, 37, 111, 185, 555
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,745,100,305,555, is 1.
Now, the common factors can be found like this.
491:491
745:5x 149
100:2x 2x 5x 5
305:5x 61
555:3x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5 = 125
Therefore, the value for common factors is 125.
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 = 6191994862500/(1x125)
LCM = 6191994862500/125
LCM = 49535958900
Thus, we can understand that the LCM of 491,745,100,305,555 is 49535958900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 491, 745, 100, 305, 555
1. What is the LCM of 491, 745, 100, 305, 555?
Answer: LCM of 491, 745, 100, 305, 555 is 49535958900.
2. How to calculate the LCM of 491, 745, 100, 305, 555?
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 491, 745, 100, 305, 555.
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}.