LCM of 546, 735, 121, 854, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 735, 121, 854, 861 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, 735, 121, 854, 861. So, keep reading to learn more.
Given numbers are 546,735,121,854,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,735,121,854,861 is 5783087310.
Find LCM of 546,735,121,854,861 with Prime Factorization
| 2 | 546, 735, 121, 854, 861 |
| 3 | 273, 735, 121, 427, 861 |
| 7 | 91, 245, 121, 427, 287 |
| 13, 35, 121, 61, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 35 x 121 x 61 x 41 = 5783087310
Therefore, the lowest common multiple of 546,735,121,854,861 is 5783087310.
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 735 x 121 x 854 x 861 = 35704781051940
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
121 : 1, 11, 121
854 : 1, 2, 7, 14, 61, 122, 427, 854
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,735,121,854,861, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
735:3x 5x 7x 7
121:11x 11
854:2x 7x 61
861:3x 7x 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 3x 3x 7x 7x 7 = 6174
Therefore, the value for common factors is 6174.
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 = 35704781051940/(1x6174)
LCM = 35704781051940/6174
LCM = 5783087310
Thus, we can understand that the LCM of 546,735,121,854,861 is 5783087310.
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FAQs on LCM of 546, 735, 121, 854, 861
1. What is the LCM of 546, 735, 121, 854, 861?
Answer: LCM of 546, 735, 121, 854, 861 is 5783087310.
2. How to calculate the LCM of 546, 735, 121, 854, 861?
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, 735, 121, 854, 861.
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}.