LCM of 491, 675, 153, 931, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 675, 153, 931, 969 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 491, 675, 153, 931, 969. So, keep reading to learn more.
Given numbers are 491,675,153,931,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,675,153,931,969 is 5245463475.
Find LCM of 491,675,153,931,969 with Prime Factorization
| 3 | 491, 675, 153, 931, 969 |
| 3 | 491, 225, 51, 931, 323 |
| 17 | 491, 75, 17, 931, 323 |
| 19 | 491, 75, 1, 931, 19 |
| 491, 75, 1, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 19 x 491 x 75 x 1 x 49 x 1 = 5245463475
Therefore, the lowest common multiple of 491,675,153,931,969 is 5245463475.
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.
491 x 675 x 153 x 931 x 969 = 45745686965475
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.
491 : 1, 491
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
153 : 1, 3, 9, 17, 51, 153
931 : 1, 7, 19, 49, 133, 931
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,675,153,931,969, is 1.
Now, the common factors can be found like this.
491:491
675:3x 3x 3x 5x 5
153:3x 3x 17
931:7x 7x 19
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 17x 19 = 8721
Therefore, the value for common factors is 8721.
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 = 45745686965475/(1x8721)
LCM = 45745686965475/8721
LCM = 5245463475
Thus, we can understand that the LCM of 491,675,153,931,969 is 5245463475.
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FAQs on LCM of 491, 675, 153, 931, 969
1. What is the LCM of 491, 675, 153, 931, 969?
Answer: LCM of 491, 675, 153, 931, 969 is 5245463475.
2. How to calculate the LCM of 491, 675, 153, 931, 969?
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 491, 675, 153, 931, 969.
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}.