LCM of 732, 876, 219, 257
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 876, 219, 257 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 732, 876, 219, 257. So, keep reading to learn more.
Given numbers are 732,876,219,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,876,219,257 is 13733052.
Find LCM of 732,876,219,257 with Prime Factorization
| 2 | 732, 876, 219, 257 |
| 2 | 366, 438, 219, 257 |
| 3 | 183, 219, 219, 257 |
| 73 | 61, 73, 73, 257 |
| 61, 1, 1, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 61 x 1 x 1 x 257 = 13733052
Therefore, the lowest common multiple of 732,876,219,257 is 13733052.
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.
732 x 876 x 219 x 257 = 36090460656
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
219 : 1, 3, 73, 219
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,876,219,257, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
876:2x 2x 3x 73
219:3x 73
257:257
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 3x 3x 73 = 2628
Therefore, the value for common factors is 2628.
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 = 36090460656/(1x2628)
LCM = 36090460656/2628
LCM = 13733052
Thus, we can understand that the LCM of 732,876,219,257 is 13733052.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 732, 876, 219, 257
1. What is the LCM of 732, 876, 219, 257?
Answer: LCM of 732, 876, 219, 257 is 13733052.
2. How to calculate the LCM of 732, 876, 219, 257?
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 732, 876, 219, 257.
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}.