LCM of 737, 216, 719, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 216, 719, 330 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, 216, 719, 330. So, keep reading to learn more.
Given numbers are 737,216,719,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,216,719,330 is 572295240.
Find LCM of 737,216,719,330 with Prime Factorization
| 2 | 737, 216, 719, 330 |
| 3 | 737, 108, 719, 165 |
| 11 | 737, 36, 719, 55 |
| 67, 36, 719, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 67 x 36 x 719 x 5 = 572295240
Therefore, the lowest common multiple of 737,216,719,330 is 572295240.
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 216 x 719 x 330 = 37771485840
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
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
719 : 1, 719
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,216,719,330, is 1.
Now, the common factors can be found like this.
737:11x 67
216:2x 2x 2x 3x 3x 3
719:719
330:2x 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 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 37771485840/(1x66)
LCM = 37771485840/66
LCM = 572295240
Thus, we can understand that the LCM of 737,216,719,330 is 572295240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 737, 216, 719, 330
1. What is the LCM of 737, 216, 719, 330?
Answer: LCM of 737, 216, 719, 330 is 572295240.
2. How to calculate the LCM of 737, 216, 719, 330?
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, 216, 719, 330.
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}.