LCM of 753, 754, 715, 338, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 753, 754, 715, 338, 875 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 753, 754, 715, 338, 875. So, keep reading to learn more.
Given numbers are 753,754,715,338,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,754,715,338,875 is 71041220250.
Find LCM of 753,754,715,338,875 with Prime Factorization
| 2 | 753, 754, 715, 338, 875 |
| 5 | 753, 377, 715, 169, 875 |
| 13 | 753, 377, 143, 169, 175 |
| 753, 29, 11, 13, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 753 x 29 x 11 x 13 x 175 = 71041220250
Therefore, the lowest common multiple of 753,754,715,338,875 is 71041220250.
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.
753 x 754 x 715 x 338 x 875 = 120059662222500
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.
753 : 1, 3, 251, 753
754 : 1, 2, 13, 26, 29, 58, 377, 754
715 : 1, 5, 11, 13, 55, 65, 143, 715
338 : 1, 2, 13, 26, 169, 338
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,754,715,338,875, is 1.
Now, the common factors can be found like this.
753:3x 251
754:2x 13x 29
715:5x 11x 13
338:2x 13x 13
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13x 13 = 1690
Therefore, the value for common factors is 1690.
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 = 120059662222500/(1x1690)
LCM = 120059662222500/1690
LCM = 71041220250
Thus, we can understand that the LCM of 753,754,715,338,875 is 71041220250.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 753, 754, 715, 338, 875
1. What is the LCM of 753, 754, 715, 338, 875?
Answer: LCM of 753, 754, 715, 338, 875 is 71041220250.
2. How to calculate the LCM of 753, 754, 715, 338, 875?
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 753, 754, 715, 338, 875.
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}.