LCM of 635, 824, 667, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 824, 667, 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 635, 824, 667, 748. So, keep reading to learn more.
Given numbers are 635,824,667,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,824,667,748 is 65263201960.
Find LCM of 635,824,667,748 with Prime Factorization
| 2 | 635, 824, 667, 748 |
| 2 | 635, 412, 667, 374 |
| 635, 206, 667, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 635 x 206 x 667 x 187 = 65263201960
Therefore, the lowest common multiple of 635,824,667,748 is 65263201960.
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.
635 x 824 x 667 x 748 = 261052807840
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.
635 : 1, 5, 127, 635
824 : 1, 2, 4, 8, 103, 206, 412, 824
667 : 1, 23, 29, 667
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 635,824,667,748, is 1.
Now, the common factors can be found like this.
635:5x 127
824:2x 2x 2x 103
667:23x 29
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 2 = 4
Therefore, the value for common factors is 4.
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 = 261052807840/(1x4)
LCM = 261052807840/4
LCM = 65263201960
Thus, we can understand that the LCM of 635,824,667,748 is 65263201960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 635, 824, 667, 748
1. What is the LCM of 635, 824, 667, 748?
Answer: LCM of 635, 824, 667, 748 is 65263201960.
2. How to calculate the LCM of 635, 824, 667, 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 635, 824, 667, 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}.