LCM of 506, 706, 492, 270, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 706, 492, 270, 942 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 506, 706, 492, 270, 942. So, keep reading to learn more.
Given numbers are 506,706,492,270,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,706,492,270,942 is 310436297820.
Find LCM of 506,706,492,270,942 with Prime Factorization
| 2 | 506, 706, 492, 270, 942 |
| 3 | 253, 353, 246, 135, 471 |
| 253, 353, 82, 45, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 253 x 353 x 82 x 45 x 157 = 310436297820
Therefore, the lowest common multiple of 506,706,492,270,942 is 310436297820.
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.
506 x 706 x 492 x 270 x 942 = 44702826886080
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
706 : 1, 2, 353, 706
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
942 : 1, 2, 3, 6, 157, 314, 471, 942
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,706,492,270,942, is 2.
Now, the common factors can be found like this.
506:2x 11x 23
706:2x 353
492:2x 2x 3x 41
270:2x 3x 3x 3x 5
942:2x 3x 157
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 3 = 72
Therefore, the value for common factors is 72.
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 = 44702826886080/(2x72)
LCM = 44702826886080/144
LCM = 310436297820
Thus, we can understand that the LCM of 506,706,492,270,942 is 310436297820.
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FAQs on LCM of 506, 706, 492, 270, 942
1. What is the LCM of 506, 706, 492, 270, 942?
Answer: LCM of 506, 706, 492, 270, 942 is 310436297820.
2. How to calculate the LCM of 506, 706, 492, 270, 942?
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 506, 706, 492, 270, 942.
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}.