LCM of 994, 538, 117, 832, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 538, 117, 832, 642 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 994, 538, 117, 832, 642. So, keep reading to learn more.
Given numbers are 994,538,117,832,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,538,117,832,642 is 107116970688.
Find LCM of 994,538,117,832,642 with Prime Factorization
| 2 | 994, 538, 117, 832, 642 |
| 3 | 497, 269, 117, 416, 321 |
| 13 | 497, 269, 39, 416, 107 |
| 497, 269, 3, 32, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 497 x 269 x 3 x 32 x 107 = 107116970688
Therefore, the lowest common multiple of 994,538,117,832,642 is 107116970688.
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.
994 x 538 x 117 x 832 x 642 = 33420494854656
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.
994 : 1, 2, 7, 14, 71, 142, 497, 994
538 : 1, 2, 269, 538
117 : 1, 3, 9, 13, 39, 117
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,538,117,832,642, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
538:2x 269
117:3x 3x 13
832:2x 2x 2x 2x 2x 2x 13
642:2x 3x 107
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 33420494854656/(1x312)
LCM = 33420494854656/312
LCM = 107116970688
Thus, we can understand that the LCM of 994,538,117,832,642 is 107116970688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 994, 538, 117, 832, 642
1. What is the LCM of 994, 538, 117, 832, 642?
Answer: LCM of 994, 538, 117, 832, 642 is 107116970688.
2. How to calculate the LCM of 994, 538, 117, 832, 642?
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 994, 538, 117, 832, 642.
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}.