LCM of 770, 737, 193, 500, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 737, 193, 500, 965 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 770, 737, 193, 500, 965. So, keep reading to learn more.
Given numbers are 770,737,193,500,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,737,193,500,965 is 497843500.
Find LCM of 770,737,193,500,965 with Prime Factorization
| 2 | 770, 737, 193, 500, 965 |
| 5 | 385, 737, 193, 250, 965 |
| 11 | 77, 737, 193, 50, 193 |
| 193 | 7, 67, 193, 50, 193 |
| 7, 67, 1, 50, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 193 x 7 x 67 x 1 x 50 x 1 = 497843500
Therefore, the lowest common multiple of 770,737,193,500,965 is 497843500.
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.
770 x 737 x 193 x 500 x 965 = 52846087525000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
737 : 1, 11, 67, 737
193 : 1, 193
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,737,193,500,965, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
737:11x 67
193:193
500:2x 2x 5x 5x 5
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11x 193 = 106150
Therefore, the value for common factors is 106150.
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 = 52846087525000/(1x106150)
LCM = 52846087525000/106150
LCM = 497843500
Thus, we can understand that the LCM of 770,737,193,500,965 is 497843500.
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FAQs on LCM of 770, 737, 193, 500, 965
1. What is the LCM of 770, 737, 193, 500, 965?
Answer: LCM of 770, 737, 193, 500, 965 is 497843500.
2. How to calculate the LCM of 770, 737, 193, 500, 965?
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 770, 737, 193, 500, 965.
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}.