LCM of 989, 936, 572, 886
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 936, 572, 886 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 989, 936, 572, 886. So, keep reading to learn more.
Given numbers are 989,936,572,886
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,936,572,886 is 4510955592.
Find LCM of 989,936,572,886 with Prime Factorization
| 2 | 989, 936, 572, 886 |
| 2 | 989, 468, 286, 443 |
| 13 | 989, 234, 143, 443 |
| 989, 18, 11, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 989 x 18 x 11 x 443 = 4510955592
Therefore, the lowest common multiple of 989,936,572,886 is 4510955592.
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.
989 x 936 x 572 x 886 = 469139381568
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.
989 : 1, 23, 43, 989
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
886 : 1, 2, 443, 886
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,936,572,886, is 1.
Now, the common factors can be found like this.
989:23x 43
936:2x 2x 2x 3x 3x 13
572:2x 2x 11x 13
886:2x 443
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 13 = 104
Therefore, the value for common factors is 104.
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 = 469139381568/(1x104)
LCM = 469139381568/104
LCM = 4510955592
Thus, we can understand that the LCM of 989,936,572,886 is 4510955592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 936, 572, 886
1. What is the LCM of 989, 936, 572, 886?
Answer: LCM of 989, 936, 572, 886 is 4510955592.
2. How to calculate the LCM of 989, 936, 572, 886?
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 989, 936, 572, 886.
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}.