LCM of 907, 312, 934, 689, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 907, 312, 934, 689, 538 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 907, 312, 934, 689, 538. So, keep reading to learn more.
Given numbers are 907,312,934,689,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,312,934,689,538 is 1884112848696.
Find LCM of 907,312,934,689,538 with Prime Factorization
| 2 | 907, 312, 934, 689, 538 |
| 13 | 907, 156, 467, 689, 269 |
| 907, 12, 467, 53, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 907 x 12 x 467 x 53 x 269 = 1884112848696
Therefore, the lowest common multiple of 907,312,934,689,538 is 1884112848696.
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.
907 x 312 x 934 x 689 x 538 = 97973868132192
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.
907 : 1, 907
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
934 : 1, 2, 467, 934
689 : 1, 13, 53, 689
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,312,934,689,538, is 1.
Now, the common factors can be found like this.
907:907
312:2x 2x 2x 3x 13
934:2x 467
689:13x 53
538:2x 269
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 13 = 52
Therefore, the value for common factors is 52.
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 = 97973868132192/(1x52)
LCM = 97973868132192/52
LCM = 1884112848696
Thus, we can understand that the LCM of 907,312,934,689,538 is 1884112848696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 907, 312, 934, 689, 538
1. What is the LCM of 907, 312, 934, 689, 538?
Answer: LCM of 907, 312, 934, 689, 538 is 1884112848696.
2. How to calculate the LCM of 907, 312, 934, 689, 538?
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 907, 312, 934, 689, 538.
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}.