LCM of 499, 400, 540, 748, 755
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 400, 540, 748, 755 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 499, 400, 540, 748, 755. So, keep reading to learn more.
Given numbers are 499,400,540,748,755
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,400,540,748,755 is 152174840400.
Find LCM of 499,400,540,748,755 with Prime Factorization
| 2 | 499, 400, 540, 748, 755 |
| 2 | 499, 200, 270, 374, 755 |
| 5 | 499, 100, 135, 187, 755 |
| 499, 20, 27, 187, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 499 x 20 x 27 x 187 x 151 = 152174840400
Therefore, the lowest common multiple of 499,400,540,748,755 is 152174840400.
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.
499 x 400 x 540 x 748 x 755 = 60869936160000
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.
499 : 1, 499
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
755 : 1, 5, 151, 755
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,400,540,748,755, is 1.
Now, the common factors can be found like this.
499:499
400:2x 2x 2x 2x 5x 5
540:2x 2x 3x 3x 3x 5
748:2x 2x 11x 17
755:5x 151
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 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 60869936160000/(1x400)
LCM = 60869936160000/400
LCM = 152174840400
Thus, we can understand that the LCM of 499,400,540,748,755 is 152174840400.
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FAQs on LCM of 499, 400, 540, 748, 755
1. What is the LCM of 499, 400, 540, 748, 755?
Answer: LCM of 499, 400, 540, 748, 755 is 152174840400.
2. How to calculate the LCM of 499, 400, 540, 748, 755?
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 499, 400, 540, 748, 755.
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}.