LCM of 748, 525, 717, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 525, 717, 975 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 748, 525, 717, 975. So, keep reading to learn more.
Given numbers are 748,525,717,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,525,717,975 is 1220118900.
Find LCM of 748,525,717,975 with Prime Factorization
| 3 | 748, 525, 717, 975 |
| 5 | 748, 175, 239, 325 |
| 5 | 748, 35, 239, 65 |
| 748, 7, 239, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 748 x 7 x 239 x 13 = 1220118900
Therefore, the lowest common multiple of 748,525,717,975 is 1220118900.
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.
748 x 525 x 717 x 975 = 274526752500
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
717 : 1, 3, 239, 717
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,525,717,975, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
525:3x 5x 5x 7
717:3x 239
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 274526752500/(1x225)
LCM = 274526752500/225
LCM = 1220118900
Thus, we can understand that the LCM of 748,525,717,975 is 1220118900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 748, 525, 717, 975
1. What is the LCM of 748, 525, 717, 975?
Answer: LCM of 748, 525, 717, 975 is 1220118900.
2. How to calculate the LCM of 748, 525, 717, 975?
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 748, 525, 717, 975.
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}.