LCM of 291, 596, 546, 416, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 596, 546, 416, 921 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 291, 596, 546, 416, 921. So, keep reading to learn more.
Given numbers are 291,596,546,416,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,596,546,416,921 is 38762252256.
Find LCM of 291,596,546,416,921 with Prime Factorization
| 2 | 291, 596, 546, 416, 921 |
| 2 | 291, 298, 273, 208, 921 |
| 3 | 291, 149, 273, 104, 921 |
| 13 | 97, 149, 91, 104, 307 |
| 97, 149, 7, 8, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 97 x 149 x 7 x 8 x 307 = 38762252256
Therefore, the lowest common multiple of 291,596,546,416,921 is 38762252256.
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.
291 x 596 x 546 x 416 x 921 = 36281468111616
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.
291 : 1, 3, 97, 291
596 : 1, 2, 4, 149, 298, 596
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,596,546,416,921, is 1.
Now, the common factors can be found like this.
291:3x 97
596:2x 2x 149
546:2x 3x 7x 13
416:2x 2x 2x 2x 2x 13
921:3x 307
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 13 = 936
Therefore, the value for common factors is 936.
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 = 36281468111616/(1x936)
LCM = 36281468111616/936
LCM = 38762252256
Thus, we can understand that the LCM of 291,596,546,416,921 is 38762252256.
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FAQs on LCM of 291, 596, 546, 416, 921
1. What is the LCM of 291, 596, 546, 416, 921?
Answer: LCM of 291, 596, 546, 416, 921 is 38762252256.
2. How to calculate the LCM of 291, 596, 546, 416, 921?
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 291, 596, 546, 416, 921.
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}.