LCM of 737, 704, 697, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 704, 697, 220 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, 704, 697, 220. So, keep reading to learn more.
Given numbers are 737,704,697,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,704,697,220 is 164380480.
Find LCM of 737,704,697,220 with Prime Factorization
| 2 | 737, 704, 697, 220 |
| 2 | 737, 352, 697, 110 |
| 11 | 737, 176, 697, 55 |
| 67, 16, 697, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 67 x 16 x 697 x 5 = 164380480
Therefore, the lowest common multiple of 737,704,697,220 is 164380480.
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 704 x 697 x 220 = 79560152320
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
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
697 : 1, 17, 41, 697
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,704,697,220, is 1.
Now, the common factors can be found like this.
737:11x 67
704:2x 2x 2x 2x 2x 2x 11
697:17x 41
220:2x 2x 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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 79560152320/(1x484)
LCM = 79560152320/484
LCM = 164380480
Thus, we can understand that the LCM of 737,704,697,220 is 164380480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 737, 704, 697, 220
1. What is the LCM of 737, 704, 697, 220?
Answer: LCM of 737, 704, 697, 220 is 164380480.
2. How to calculate the LCM of 737, 704, 697, 220?
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, 704, 697, 220.
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}.