LCM of 646, 839, 320, 921, 237
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 839, 320, 921, 237 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 646, 839, 320, 921, 237. So, keep reading to learn more.
Given numbers are 646,839,320,921,237
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,839,320,921,237 is 6309590631360.
Find LCM of 646,839,320,921,237 with Prime Factorization
| 2 | 646, 839, 320, 921, 237 |
| 3 | 323, 839, 160, 921, 237 |
| 323, 839, 160, 307, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 323 x 839 x 160 x 307 x 79 = 6309590631360
Therefore, the lowest common multiple of 646,839,320,921,237 is 6309590631360.
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.
646 x 839 x 320 x 921 x 237 = 37857543788160
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
839 : 1, 839
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
921 : 1, 3, 307, 921
237 : 1, 3, 79, 237
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,839,320,921,237, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
839:839
320:2x 2x 2x 2x 2x 2x 5
921:3x 307
237:3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 37857543788160/(1x6)
LCM = 37857543788160/6
LCM = 6309590631360
Thus, we can understand that the LCM of 646,839,320,921,237 is 6309590631360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 646, 839, 320, 921, 237
1. What is the LCM of 646, 839, 320, 921, 237?
Answer: LCM of 646, 839, 320, 921, 237 is 6309590631360.
2. How to calculate the LCM of 646, 839, 320, 921, 237?
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 646, 839, 320, 921, 237.
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}.