Find the LCM of 936, 902, 564, 741, 292 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 936, 902, 564, 741, 292. So, keep reading to learn more.
Given numbers are 936,902,564,741,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,902,564,741,292 is 27518623704.
Find LCM of 936,902,564,741,292 with Prime Factorization
2 | 936, 902, 564, 741, 292 |
2 | 468, 451, 282, 741, 146 |
3 | 234, 451, 141, 741, 73 |
13 | 78, 451, 47, 247, 73 |
6, 451, 47, 19, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 6 x 451 x 47 x 19 x 73 = 27518623704
Therefore, the lowest common multiple of 936,902,564,741,292 is 27518623704.
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.
936 x 902 x 564 x 741 x 292 = 103029727147776
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.
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
902 : 1, 2, 11, 22, 41, 82, 451, 902
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
741 : 1, 3, 13, 19, 39, 57, 247, 741
292 : 1, 2, 4, 73, 146, 292
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,902,564,741,292, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
902:2x 11x 41
564:2x 2x 3x 47
741:3x 13x 19
292:2x 2x 73
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 2x 2x 3x 3x 13 = 3744
Therefore, the value for common factors is 3744.
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 = 103029727147776/(1x3744)
LCM = 103029727147776/3744
LCM = 27518623704
Thus, we can understand that the LCM of 936,902,564,741,292 is 27518623704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 936, 902, 564, 741, 292?
Answer: LCM of 936, 902, 564, 741, 292 is 27518623704.
2. How to calculate the LCM of 936, 902, 564, 741, 292?
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 936, 902, 564, 741, 292.
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}.