LCM of 546, 629, 905, 870, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 629, 905, 870, 297 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, 629, 905, 870, 297. So, keep reading to learn more.
Given numbers are 546,629,905,870,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,629,905,870,297 is 892329107670.
Find LCM of 546,629,905,870,297 with Prime Factorization
| 2 | 546, 629, 905, 870, 297 |
| 3 | 273, 629, 905, 435, 297 |
| 5 | 91, 629, 905, 145, 99 |
| 91, 629, 181, 29, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 91 x 629 x 181 x 29 x 99 = 892329107670
Therefore, the lowest common multiple of 546,629,905,870,297 is 892329107670.
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 629 x 905 x 870 x 297 = 80309619690300
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
629 : 1, 17, 37, 629
905 : 1, 5, 181, 905
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,629,905,870,297, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
629:17x 37
905:5x 181
870:2x 3x 5x 29
297:3x 3x 3x 11
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 5 = 90
Therefore, the value for common factors is 90.
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 = 80309619690300/(1x90)
LCM = 80309619690300/90
LCM = 892329107670
Thus, we can understand that the LCM of 546,629,905,870,297 is 892329107670.
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FAQs on LCM of 546, 629, 905, 870, 297
1. What is the LCM of 546, 629, 905, 870, 297?
Answer: LCM of 546, 629, 905, 870, 297 is 892329107670.
2. How to calculate the LCM of 546, 629, 905, 870, 297?
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, 629, 905, 870, 297.
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}.