LCM of 962, 943, 160, 234, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 943, 160, 234, 736 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 962, 943, 160, 234, 736. So, keep reading to learn more.
Given numbers are 962,943,160,234,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,943,160,234,736 is 653159520.
Find LCM of 962,943,160,234,736 with Prime Factorization
| 2 | 962, 943, 160, 234, 736 |
| 2 | 481, 943, 80, 117, 368 |
| 2 | 481, 943, 40, 117, 184 |
| 2 | 481, 943, 20, 117, 92 |
| 2 | 481, 943, 10, 117, 46 |
| 13 | 481, 943, 5, 117, 23 |
| 23 | 37, 943, 5, 9, 23 |
| 37, 41, 5, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 13 x 23 x 37 x 41 x 5 x 9 x 1 = 653159520
Therefore, the lowest common multiple of 962,943,160,234,736 is 653159520.
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.
962 x 943 x 160 x 234 x 736 = 24997721149440
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
943 : 1, 23, 41, 943
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,943,160,234,736, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
943:23x 41
160:2x 2x 2x 2x 2x 5
234:2x 3x 3x 13
736:2x 2x 2x 2x 2x 23
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 2x 2x 2x 2x 13x 23 = 38272
Therefore, the value for common factors is 38272.
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 = 24997721149440/(1x38272)
LCM = 24997721149440/38272
LCM = 653159520
Thus, we can understand that the LCM of 962,943,160,234,736 is 653159520.
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FAQs on LCM of 962, 943, 160, 234, 736
1. What is the LCM of 962, 943, 160, 234, 736?
Answer: LCM of 962, 943, 160, 234, 736 is 653159520.
2. How to calculate the LCM of 962, 943, 160, 234, 736?
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 962, 943, 160, 234, 736.
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}.