LCM of 737, 689, 496, 132, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 689, 496, 132, 371 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 737, 689, 496, 132, 371. So, keep reading to learn more.
Given numbers are 737,689,496,132,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,689,496,132,371 is 5289171888.
Find LCM of 737,689,496,132,371 with Prime Factorization
| 2 | 737, 689, 496, 132, 371 |
| 2 | 737, 689, 248, 66, 371 |
| 11 | 737, 689, 124, 33, 371 |
| 53 | 67, 689, 124, 3, 371 |
| 67, 13, 124, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 53 x 67 x 13 x 124 x 3 x 7 = 5289171888
Therefore, the lowest common multiple of 737,689,496,132,371 is 5289171888.
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.
737 x 689 x 496 x 132 x 371 = 12334348842816
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.
737 : 1, 11, 67, 737
689 : 1, 13, 53, 689
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,689,496,132,371, is 1.
Now, the common factors can be found like this.
737:11x 67
689:13x 53
496:2x 2x 2x 2x 31
132:2x 2x 3x 11
371:7x 53
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 11x 53 = 2332
Therefore, the value for common factors is 2332.
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 = 12334348842816/(1x2332)
LCM = 12334348842816/2332
LCM = 5289171888
Thus, we can understand that the LCM of 737,689,496,132,371 is 5289171888.
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FAQs on LCM of 737, 689, 496, 132, 371
1. What is the LCM of 737, 689, 496, 132, 371?
Answer: LCM of 737, 689, 496, 132, 371 is 5289171888.
2. How to calculate the LCM of 737, 689, 496, 132, 371?
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 737, 689, 496, 132, 371.
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}.