LCM of 714, 153, 747, 588, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 153, 747, 588, 704 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 714, 153, 747, 588, 704. So, keep reading to learn more.
Given numbers are 714,153,747,588,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,153,747,588,704 is 438064704.
Find LCM of 714,153,747,588,704 with Prime Factorization
| 2 | 714, 153, 747, 588, 704 |
| 2 | 357, 153, 747, 294, 352 |
| 3 | 357, 153, 747, 147, 176 |
| 3 | 119, 51, 249, 49, 176 |
| 7 | 119, 17, 83, 49, 176 |
| 17 | 17, 17, 83, 7, 176 |
| 1, 1, 83, 7, 176 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 17 x 1 x 1 x 83 x 7 x 176 = 438064704
Therefore, the lowest common multiple of 714,153,747,588,704 is 438064704.
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.
714 x 153 x 747 x 588 x 704 = 33780045454848
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
153 : 1, 3, 9, 17, 51, 153
747 : 1, 3, 9, 83, 249, 747
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,153,747,588,704, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
153:3x 3x 17
747:3x 3x 83
588:2x 2x 3x 7x 7
704:2x 2x 2x 2x 2x 2x 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 3x 3x 3x 3x 7x 17 = 77112
Therefore, the value for common factors is 77112.
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 = 33780045454848/(1x77112)
LCM = 33780045454848/77112
LCM = 438064704
Thus, we can understand that the LCM of 714,153,747,588,704 is 438064704.
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FAQs on LCM of 714, 153, 747, 588, 704
1. What is the LCM of 714, 153, 747, 588, 704?
Answer: LCM of 714, 153, 747, 588, 704 is 438064704.
2. How to calculate the LCM of 714, 153, 747, 588, 704?
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 714, 153, 747, 588, 704.
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}.