LCM of 314, 732, 892, 603, 669
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 732, 892, 603, 669 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 314, 732, 892, 603, 669. So, keep reading to learn more.
Given numbers are 314,732,892,603,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,732,892,603,669 is 5151238452.
Find LCM of 314,732,892,603,669 with Prime Factorization
| 2 | 314, 732, 892, 603, 669 |
| 2 | 157, 366, 446, 603, 669 |
| 3 | 157, 183, 223, 603, 669 |
| 223 | 157, 61, 223, 201, 223 |
| 157, 61, 1, 201, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 223 x 157 x 61 x 1 x 201 x 1 = 5151238452
Therefore, the lowest common multiple of 314,732,892,603,669 is 5151238452.
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.
314 x 732 x 892 x 603 x 669 = 82708284585312
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.
314 : 1, 2, 157, 314
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
892 : 1, 2, 4, 223, 446, 892
603 : 1, 3, 9, 67, 201, 603
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,732,892,603,669, is 1.
Now, the common factors can be found like this.
314:2x 157
732:2x 2x 3x 61
892:2x 2x 223
603:3x 3x 67
669:3x 223
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 2x 3x 3x 223 = 16056
Therefore, the value for common factors is 16056.
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 = 82708284585312/(1x16056)
LCM = 82708284585312/16056
LCM = 5151238452
Thus, we can understand that the LCM of 314,732,892,603,669 is 5151238452.
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FAQs on LCM of 314, 732, 892, 603, 669
1. What is the LCM of 314, 732, 892, 603, 669?
Answer: LCM of 314, 732, 892, 603, 669 is 5151238452.
2. How to calculate the LCM of 314, 732, 892, 603, 669?
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 314, 732, 892, 603, 669.
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}.