LCM of 153, 939, 650, 737, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 939, 650, 737, 646 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 153, 939, 650, 737, 646. So, keep reading to learn more.
Given numbers are 153,939,650,737,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,939,650,737,646 is 435883283550.
Find LCM of 153,939,650,737,646 with Prime Factorization
| 2 | 153, 939, 650, 737, 646 |
| 3 | 153, 939, 325, 737, 323 |
| 17 | 51, 313, 325, 737, 323 |
| 3, 313, 325, 737, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 3 x 313 x 325 x 737 x 19 = 435883283550
Therefore, the lowest common multiple of 153,939,650,737,646 is 435883283550.
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.
153 x 939 x 650 x 737 x 646 = 44460094922100
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.
153 : 1, 3, 9, 17, 51, 153
939 : 1, 3, 313, 939
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
737 : 1, 11, 67, 737
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,939,650,737,646, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
939:3x 313
650:2x 5x 5x 13
737:11x 67
646:2x 17x 19
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 17 = 102
Therefore, the value for common factors is 102.
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 = 44460094922100/(1x102)
LCM = 44460094922100/102
LCM = 435883283550
Thus, we can understand that the LCM of 153,939,650,737,646 is 435883283550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 153, 939, 650, 737, 646
1. What is the LCM of 153, 939, 650, 737, 646?
Answer: LCM of 153, 939, 650, 737, 646 is 435883283550.
2. How to calculate the LCM of 153, 939, 650, 737, 646?
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 153, 939, 650, 737, 646.
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}.