LCM of 371, 456, 361, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 371, 456, 361, 712 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 371, 456, 361, 712. So, keep reading to learn more.
Given numbers are 371,456,361,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,456,361,712 is 286076616.
Find LCM of 371,456,361,712 with Prime Factorization
| 2 | 371, 456, 361, 712 |
| 2 | 371, 228, 361, 356 |
| 2 | 371, 114, 361, 178 |
| 19 | 371, 57, 361, 89 |
| 371, 3, 19, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 371 x 3 x 19 x 89 = 286076616
Therefore, the lowest common multiple of 371,456,361,712 is 286076616.
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.
371 x 456 x 361 x 712 = 43483645632
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.
371 : 1, 7, 53, 371
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
361 : 1, 19, 361
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,456,361,712, is 1.
Now, the common factors can be found like this.
371:7x 53
456:2x 2x 2x 3x 19
361:19x 19
712:2x 2x 2x 89
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 19 = 152
Therefore, the value for common factors is 152.
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 = 43483645632/(1x152)
LCM = 43483645632/152
LCM = 286076616
Thus, we can understand that the LCM of 371,456,361,712 is 286076616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 371, 456, 361, 712
1. What is the LCM of 371, 456, 361, 712?
Answer: LCM of 371, 456, 361, 712 is 286076616.
2. How to calculate the LCM of 371, 456, 361, 712?
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 371, 456, 361, 712.
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}.