LCM of 907, 915, 989, 253, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 907, 915, 989, 253, 549 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, 915, 989, 253, 549. So, keep reading to learn more.
Given numbers are 907,915,989,253,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,915,989,253,549 is 27085609485.
Find LCM of 907,915,989,253,549 with Prime Factorization
| 3 | 907, 915, 989, 253, 549 |
| 23 | 907, 305, 989, 253, 183 |
| 61 | 907, 305, 43, 11, 183 |
| 907, 5, 43, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 61 x 907 x 5 x 43 x 11 x 3 = 27085609485
Therefore, the lowest common multiple of 907,915,989,253,549 is 27085609485.
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 915 x 989 x 253 x 549 = 114003330322365
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
915 : 1, 3, 5, 15, 61, 183, 305, 915
989 : 1, 23, 43, 989
253 : 1, 11, 23, 253
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,915,989,253,549, is 1.
Now, the common factors can be found like this.
907:907
915:3x 5x 61
989:23x 43
253:11x 23
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 61 = 4209
Therefore, the value for common factors is 4209.
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 = 114003330322365/(1x4209)
LCM = 114003330322365/4209
LCM = 27085609485
Thus, we can understand that the LCM of 907,915,989,253,549 is 27085609485.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 907, 915, 989, 253, 549
1. What is the LCM of 907, 915, 989, 253, 549?
Answer: LCM of 907, 915, 989, 253, 549 is 27085609485.
2. How to calculate the LCM of 907, 915, 989, 253, 549?
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, 915, 989, 253, 549.
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}.