LCM of 989, 462, 172, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 989, 462, 172, 781 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, 462, 172, 781. So, keep reading to learn more.
Given numbers are 989,462,172,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,462,172,781 is 64882356.
Find LCM of 989,462,172,781 with Prime Factorization
| 2 | 989, 462, 172, 781 |
| 11 | 989, 231, 86, 781 |
| 43 | 989, 21, 86, 71 |
| 23, 21, 2, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 23 x 21 x 2 x 71 = 64882356
Therefore, the lowest common multiple of 989,462,172,781 is 64882356.
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 462 x 172 x 781 = 61378708776
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
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
172 : 1, 2, 4, 43, 86, 172
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,462,172,781, is 1.
Now, the common factors can be found like this.
989:23x 43
462:2x 3x 7x 11
172:2x 2x 43
781:11x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 43 = 946
Therefore, the value for common factors is 946.
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 = 61378708776/(1x946)
LCM = 61378708776/946
LCM = 64882356
Thus, we can understand that the LCM of 989,462,172,781 is 64882356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 989, 462, 172, 781
1. What is the LCM of 989, 462, 172, 781?
Answer: LCM of 989, 462, 172, 781 is 64882356.
2. How to calculate the LCM of 989, 462, 172, 781?
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, 462, 172, 781.
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}.