LCM of 363, 564, 251, 887
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 564, 251, 887 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 363, 564, 251, 887. So, keep reading to learn more.
Given numbers are 363,564,251,887
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,564,251,887 is 15193639428.
Find LCM of 363,564,251,887 with Prime Factorization
| 3 | 363, 564, 251, 887 |
| 121, 188, 251, 887 |
Multiply the prime numbers at the bottom and the left side.
3 x 121 x 188 x 251 x 887 = 15193639428
Therefore, the lowest common multiple of 363,564,251,887 is 15193639428.
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.
363 x 564 x 251 x 887 = 45580918284
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.
363 : 1, 3, 11, 33, 121, 363
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
251 : 1, 251
887 : 1, 887
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,564,251,887, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
564:2x 2x 3x 47
251:251
887:887
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 45580918284/(1x3)
LCM = 45580918284/3
LCM = 15193639428
Thus, we can understand that the LCM of 363,564,251,887 is 15193639428.
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FAQs on LCM of 363, 564, 251, 887
1. What is the LCM of 363, 564, 251, 887?
Answer: LCM of 363, 564, 251, 887 is 15193639428.
2. How to calculate the LCM of 363, 564, 251, 887?
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 363, 564, 251, 887.
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}.