LCM of 689, 374, 748, 737, 152
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 374, 748, 737, 152 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 689, 374, 748, 737, 152. So, keep reading to learn more.
Given numbers are 689,374,748,737,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,374,748,737,152 is 1312137112.
Find LCM of 689,374,748,737,152 with Prime Factorization
| 2 | 689, 374, 748, 737, 152 |
| 2 | 689, 187, 374, 737, 76 |
| 11 | 689, 187, 187, 737, 38 |
| 17 | 689, 17, 17, 67, 38 |
| 689, 1, 1, 67, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 689 x 1 x 1 x 67 x 38 = 1312137112
Therefore, the lowest common multiple of 689,374,748,737,152 is 1312137112.
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.
689 x 374 x 748 x 737 x 152 = 21592528315072
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.
689 : 1, 13, 53, 689
374 : 1, 2, 11, 17, 22, 34, 187, 374
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
737 : 1, 11, 67, 737
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,374,748,737,152, is 1.
Now, the common factors can be found like this.
689:13x 53
374:2x 11x 17
748:2x 2x 11x 17
737:11x 67
152:2x 2x 2x 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 2x 2x 11x 11x 17 = 16456
Therefore, the value for common factors is 16456.
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 = 21592528315072/(1x16456)
LCM = 21592528315072/16456
LCM = 1312137112
Thus, we can understand that the LCM of 689,374,748,737,152 is 1312137112.
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FAQs on LCM of 689, 374, 748, 737, 152
1. What is the LCM of 689, 374, 748, 737, 152?
Answer: LCM of 689, 374, 748, 737, 152 is 1312137112.
2. How to calculate the LCM of 689, 374, 748, 737, 152?
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 689, 374, 748, 737, 152.
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}.