LCM of 902, 549, 656, 803, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 549, 656, 803, 171 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 902, 549, 656, 803, 171. So, keep reading to learn more.
Given numbers are 902,549,656,803,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,549,656,803,171 is 5494717008.
Find LCM of 902,549,656,803,171 with Prime Factorization
| 2 | 902, 549, 656, 803, 171 |
| 3 | 451, 549, 328, 803, 171 |
| 3 | 451, 183, 328, 803, 57 |
| 11 | 451, 61, 328, 803, 19 |
| 41 | 41, 61, 328, 73, 19 |
| 1, 61, 8, 73, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 41 x 1 x 61 x 8 x 73 x 19 = 5494717008
Therefore, the lowest common multiple of 902,549,656,803,171 is 5494717008.
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.
902 x 549 x 656 x 803 x 171 = 44606112670944
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
549 : 1, 3, 9, 61, 183, 549
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
803 : 1, 11, 73, 803
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,549,656,803,171, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
549:3x 3x 61
656:2x 2x 2x 2x 41
803:11x 73
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 41 = 8118
Therefore, the value for common factors is 8118.
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 = 44606112670944/(1x8118)
LCM = 44606112670944/8118
LCM = 5494717008
Thus, we can understand that the LCM of 902,549,656,803,171 is 5494717008.
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FAQs on LCM of 902, 549, 656, 803, 171
1. What is the LCM of 902, 549, 656, 803, 171?
Answer: LCM of 902, 549, 656, 803, 171 is 5494717008.
2. How to calculate the LCM of 902, 549, 656, 803, 171?
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 902, 549, 656, 803, 171.
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}.