LCM of 737, 165, 274, 771, 253
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 165, 274, 771, 253 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, 165, 274, 771, 253. So, keep reading to learn more.
Given numbers are 737,165,274,771,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,165,274,771,253 is 17904832770.
Find LCM of 737,165,274,771,253 with Prime Factorization
| 3 | 737, 165, 274, 771, 253 |
| 11 | 737, 55, 274, 257, 253 |
| 67, 5, 274, 257, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 67 x 5 x 274 x 257 x 23 = 17904832770
Therefore, the lowest common multiple of 737,165,274,771,253 is 17904832770.
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 165 x 274 x 771 x 253 = 6499454295510
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
165 : 1, 3, 5, 11, 15, 33, 55, 165
274 : 1, 2, 137, 274
771 : 1, 3, 257, 771
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,165,274,771,253, is 1.
Now, the common factors can be found like this.
737:11x 67
165:3x 5x 11
274:2x 137
771:3x 257
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11 = 363
Therefore, the value for common factors is 363.
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 = 6499454295510/(1x363)
LCM = 6499454295510/363
LCM = 17904832770
Thus, we can understand that the LCM of 737,165,274,771,253 is 17904832770.
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FAQs on LCM of 737, 165, 274, 771, 253
1. What is the LCM of 737, 165, 274, 771, 253?
Answer: LCM of 737, 165, 274, 771, 253 is 17904832770.
2. How to calculate the LCM of 737, 165, 274, 771, 253?
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, 165, 274, 771, 253.
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}.