LCM of 537, 396, 492, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 537, 396, 492, 902 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 537, 396, 492, 902. So, keep reading to learn more.
Given numbers are 537,396,492,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,396,492,902 is 2906244.
Find LCM of 537,396,492,902 with Prime Factorization
| 2 | 537, 396, 492, 902 |
| 2 | 537, 198, 246, 451 |
| 3 | 537, 99, 123, 451 |
| 11 | 179, 33, 41, 451 |
| 41 | 179, 3, 41, 41 |
| 179, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 41 x 179 x 3 x 1 x 1 = 2906244
Therefore, the lowest common multiple of 537,396,492,902 is 2906244.
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.
537 x 396 x 492 x 902 = 94371555168
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.
537 : 1, 3, 179, 537
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,396,492,902, is 1.
Now, the common factors can be found like this.
537:3x 179
396:2x 2x 3x 3x 11
492:2x 2x 3x 41
902:2x 11x 41
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 3x 11x 41 = 32472
Therefore, the value for common factors is 32472.
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 = 94371555168/(1x32472)
LCM = 94371555168/32472
LCM = 2906244
Thus, we can understand that the LCM of 537,396,492,902 is 2906244.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 537, 396, 492, 902
1. What is the LCM of 537, 396, 492, 902?
Answer: LCM of 537, 396, 492, 902 is 2906244.
2. How to calculate the LCM of 537, 396, 492, 902?
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 537, 396, 492, 902.
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}.