LCM of 546, 142, 710, 284, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 142, 710, 284, 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 546, 142, 710, 284, 942. So, keep reading to learn more.
Given numbers are 546,142,710,284,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,142,710,284,942 is 60862620.
Find LCM of 546,142,710,284,942 with Prime Factorization
| 2 | 546, 142, 710, 284, 942 |
| 3 | 273, 71, 355, 142, 471 |
| 71 | 91, 71, 355, 142, 157 |
| 91, 1, 5, 2, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 71 x 91 x 1 x 5 x 2 x 157 = 60862620
Therefore, the lowest common multiple of 546,142,710,284,942 is 60862620.
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.
546 x 142 x 710 x 284 x 942 = 14726806436160
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
142 : 1, 2, 71, 142
710 : 1, 2, 5, 10, 71, 142, 355, 710
284 : 1, 2, 4, 71, 142, 284
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 546,142,710,284,942, is 2.
Now, the common factors can be found like this.
546:2x 3x 7x 13
142:2x 71
710:2x 5x 71
284:2x 2x 71
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 71x 71 = 120984
Therefore, the value for common factors is 120984.
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 = 14726806436160/(2x120984)
LCM = 14726806436160/241968
LCM = 60862620
Thus, we can understand that the LCM of 546,142,710,284,942 is 60862620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 142, 710, 284, 942
1. What is the LCM of 546, 142, 710, 284, 942?
Answer: LCM of 546, 142, 710, 284, 942 is 60862620.
2. How to calculate the LCM of 546, 142, 710, 284, 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 546, 142, 710, 284, 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}.