LCM of 910, 292, 949, 931, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 292, 949, 931, 364 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 910, 292, 949, 931, 364. So, keep reading to learn more.
Given numbers are 910,292,949,931,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,292,949,931,364 is 17670380.
Find LCM of 910,292,949,931,364 with Prime Factorization
| 2 | 910, 292, 949, 931, 364 |
| 2 | 455, 146, 949, 931, 182 |
| 7 | 455, 73, 949, 931, 91 |
| 13 | 65, 73, 949, 133, 13 |
| 73 | 5, 73, 73, 133, 1 |
| 5, 1, 1, 133, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 73 x 5 x 1 x 1 x 133 x 1 = 17670380
Therefore, the lowest common multiple of 910,292,949,931,364 is 17670380.
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.
910 x 292 x 949 x 931 x 364 = 85455795399520
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
292 : 1, 2, 4, 73, 146, 292
949 : 1, 13, 73, 949
931 : 1, 7, 19, 49, 133, 931
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,292,949,931,364, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
292:2x 2x 73
949:13x 73
931:7x 7x 19
364:2x 2x 7x 13
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 7x 7x 13x 13x 73 = 4836104
Therefore, the value for common factors is 4836104.
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 = 85455795399520/(1x4836104)
LCM = 85455795399520/4836104
LCM = 17670380
Thus, we can understand that the LCM of 910,292,949,931,364 is 17670380.
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FAQs on LCM of 910, 292, 949, 931, 364
1. What is the LCM of 910, 292, 949, 931, 364?
Answer: LCM of 910, 292, 949, 931, 364 is 17670380.
2. How to calculate the LCM of 910, 292, 949, 931, 364?
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 910, 292, 949, 931, 364.
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}.