LCM of 950, 654, 936, 559, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 654, 936, 559, 931 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 950, 654, 936, 559, 931. So, keep reading to learn more.
Given numbers are 950,654,936,559,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,654,936,559,931 is 102108169800.
Find LCM of 950,654,936,559,931 with Prime Factorization
| 2 | 950, 654, 936, 559, 931 |
| 3 | 475, 327, 468, 559, 931 |
| 13 | 475, 109, 156, 559, 931 |
| 19 | 475, 109, 12, 43, 931 |
| 25, 109, 12, 43, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 25 x 109 x 12 x 43 x 49 = 102108169800
Therefore, the lowest common multiple of 950,654,936,559,931 is 102108169800.
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.
950 x 654 x 936 x 559 x 931 = 302648615287200
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
654 : 1, 2, 3, 6, 109, 218, 327, 654
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
559 : 1, 13, 43, 559
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,654,936,559,931, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
654:2x 3x 109
936:2x 2x 2x 3x 3x 13
559:13x 43
931:7x 7x 19
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 13x 19 = 2964
Therefore, the value for common factors is 2964.
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 = 302648615287200/(1x2964)
LCM = 302648615287200/2964
LCM = 102108169800
Thus, we can understand that the LCM of 950,654,936,559,931 is 102108169800.
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FAQs on LCM of 950, 654, 936, 559, 931
1. What is the LCM of 950, 654, 936, 559, 931?
Answer: LCM of 950, 654, 936, 559, 931 is 102108169800.
2. How to calculate the LCM of 950, 654, 936, 559, 931?
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 950, 654, 936, 559, 931.
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}.