LCM of 737, 534, 764, 638, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 534, 764, 638, 660 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, 534, 764, 638, 660. So, keep reading to learn more.
Given numbers are 737,534,764,638,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,534,764,638,660 is 21799177620.
Find LCM of 737,534,764,638,660 with Prime Factorization
| 2 | 737, 534, 764, 638, 660 |
| 2 | 737, 267, 382, 319, 330 |
| 3 | 737, 267, 191, 319, 165 |
| 11 | 737, 89, 191, 319, 55 |
| 67, 89, 191, 29, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 67 x 89 x 191 x 29 x 5 = 21799177620
Therefore, the lowest common multiple of 737,534,764,638,660 is 21799177620.
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 534 x 764 x 638 x 660 = 126609623616960
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
534 : 1, 2, 3, 6, 89, 178, 267, 534
764 : 1, 2, 4, 191, 382, 764
638 : 1, 2, 11, 22, 29, 58, 319, 638
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,534,764,638,660, is 1.
Now, the common factors can be found like this.
737:11x 67
534:2x 3x 89
764:2x 2x 191
638:2x 11x 29
660:2x 2x 3x 5x 11
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 3x 11x 11 = 5808
Therefore, the value for common factors is 5808.
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 = 126609623616960/(1x5808)
LCM = 126609623616960/5808
LCM = 21799177620
Thus, we can understand that the LCM of 737,534,764,638,660 is 21799177620.
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FAQs on LCM of 737, 534, 764, 638, 660
1. What is the LCM of 737, 534, 764, 638, 660?
Answer: LCM of 737, 534, 764, 638, 660 is 21799177620.
2. How to calculate the LCM of 737, 534, 764, 638, 660?
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, 534, 764, 638, 660.
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}.