LCM of 902, 185, 432, 814, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 185, 432, 814, 546 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, 185, 432, 814, 546. So, keep reading to learn more.
Given numbers are 902,185,432,814,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,185,432,814,546 is 3279996720.
Find LCM of 902,185,432,814,546 with Prime Factorization
| 2 | 902, 185, 432, 814, 546 |
| 3 | 451, 185, 216, 407, 273 |
| 11 | 451, 185, 72, 407, 91 |
| 37 | 41, 185, 72, 37, 91 |
| 41, 5, 72, 1, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 41 x 5 x 72 x 1 x 91 = 3279996720
Therefore, the lowest common multiple of 902,185,432,814,546 is 3279996720.
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 185 x 432 x 814 x 546 = 32039007960960
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
185 : 1, 5, 37, 185
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
814 : 1, 2, 11, 22, 37, 74, 407, 814
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,185,432,814,546, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
185:5x 37
432:2x 2x 2x 2x 3x 3x 3
814:2x 11x 37
546:2x 3x 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 3x 11x 37 = 9768
Therefore, the value for common factors is 9768.
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 = 32039007960960/(1x9768)
LCM = 32039007960960/9768
LCM = 3279996720
Thus, we can understand that the LCM of 902,185,432,814,546 is 3279996720.
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FAQs on LCM of 902, 185, 432, 814, 546
1. What is the LCM of 902, 185, 432, 814, 546?
Answer: LCM of 902, 185, 432, 814, 546 is 3279996720.
2. How to calculate the LCM of 902, 185, 432, 814, 546?
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, 185, 432, 814, 546.
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}.