LCM of 887, 403, 841, 744, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 403, 841, 744, 348 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 887, 403, 841, 744, 348. So, keep reading to learn more.
Given numbers are 887,403,841,744,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,403,841,744,348 is 7214992824.
Find LCM of 887,403,841,744,348 with Prime Factorization
| 2 | 887, 403, 841, 744, 348 |
| 2 | 887, 403, 841, 372, 174 |
| 3 | 887, 403, 841, 186, 87 |
| 29 | 887, 403, 841, 62, 29 |
| 31 | 887, 403, 1, 62, 29 |
| 887, 13, 1, 2, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 31 x 887 x 13 x 1 x 2 x 29 = 7214992824
Therefore, the lowest common multiple of 887,403,841,744,348 is 7214992824.
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.
887 x 403 x 841 x 744 x 348 = 77835342585312
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.
887 : 1, 887
403 : 1, 13, 31, 403
841 : 1, 29, 841
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,403,841,744,348, is 1.
Now, the common factors can be found like this.
887:887
403:13x 31
841:29x 29
744:2x 2x 2x 3x 31
348:2x 2x 3x 29
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 29x 31 = 10788
Therefore, the value for common factors is 10788.
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 = 77835342585312/(1x10788)
LCM = 77835342585312/10788
LCM = 7214992824
Thus, we can understand that the LCM of 887,403,841,744,348 is 7214992824.
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FAQs on LCM of 887, 403, 841, 744, 348
1. What is the LCM of 887, 403, 841, 744, 348?
Answer: LCM of 887, 403, 841, 744, 348 is 7214992824.
2. How to calculate the LCM of 887, 403, 841, 744, 348?
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 887, 403, 841, 744, 348.
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}.