LCM of 575, 748, 823, 537, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 575, 748, 823, 537, 968 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 575, 748, 823, 537, 968. So, keep reading to learn more.
Given numbers are 575,748,823,537,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 575,748,823,537,968 is 4181828752200.
Find LCM of 575,748,823,537,968 with Prime Factorization
| 2 | 575, 748, 823, 537, 968 |
| 2 | 575, 374, 823, 537, 484 |
| 11 | 575, 187, 823, 537, 242 |
| 575, 17, 823, 537, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 575 x 17 x 823 x 537 x 22 = 4181828752200
Therefore, the lowest common multiple of 575,748,823,537,968 is 4181828752200.
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.
575 x 748 x 823 x 537 x 968 = 184000465096800
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.
575 : 1, 5, 23, 25, 115, 575
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
823 : 1, 823
537 : 1, 3, 179, 537
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,748,823,537,968, is 1.
Now, the common factors can be found like this.
575:5x 5x 23
748:2x 2x 11x 17
823:823
537:3x 179
968:2x 2x 2x 11x 11
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 11 = 44
Therefore, the value for common factors is 44.
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 = 184000465096800/(1x44)
LCM = 184000465096800/44
LCM = 4181828752200
Thus, we can understand that the LCM of 575,748,823,537,968 is 4181828752200.
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FAQs on LCM of 575, 748, 823, 537, 968
1. What is the LCM of 575, 748, 823, 537, 968?
Answer: LCM of 575, 748, 823, 537, 968 is 4181828752200.
2. How to calculate the LCM of 575, 748, 823, 537, 968?
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 575, 748, 823, 537, 968.
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}.