LCM of 755, 878, 374, 561, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 878, 374, 561, 748 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 755, 878, 374, 561, 748. So, keep reading to learn more.
Given numbers are 755,878,374,561,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,878,374,561,748 is 743762580.
Find LCM of 755,878,374,561,748 with Prime Factorization
| 2 | 755, 878, 374, 561, 748 |
| 11 | 755, 439, 187, 561, 374 |
| 17 | 755, 439, 17, 51, 34 |
| 755, 439, 1, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 755 x 439 x 1 x 3 x 2 = 743762580
Therefore, the lowest common multiple of 755,878,374,561,748 is 743762580.
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.
755 x 878 x 374 x 561 x 748 = 104034534640080
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.
755 : 1, 5, 151, 755
878 : 1, 2, 439, 878
374 : 1, 2, 11, 17, 22, 34, 187, 374
561 : 1, 3, 11, 17, 33, 51, 187, 561
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,878,374,561,748, is 1.
Now, the common factors can be found like this.
755:5x 151
878:2x 439
374:2x 11x 17
561:3x 11x 17
748:2x 2x 11x 17
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 11x 11x 17x 17 = 139876
Therefore, the value for common factors is 139876.
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 = 104034534640080/(1x139876)
LCM = 104034534640080/139876
LCM = 743762580
Thus, we can understand that the LCM of 755,878,374,561,748 is 743762580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 755, 878, 374, 561, 748
1. What is the LCM of 755, 878, 374, 561, 748?
Answer: LCM of 755, 878, 374, 561, 748 is 743762580.
2. How to calculate the LCM of 755, 878, 374, 561, 748?
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 755, 878, 374, 561, 748.
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}.