LCM of 588, 693, 118, 312, 547
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 693, 118, 312, 547 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 588, 693, 118, 312, 547. So, keep reading to learn more.
Given numbers are 588,693,118,312,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,693,118,312,547 is 16281857592.
Find LCM of 588,693,118,312,547 with Prime Factorization
| 2 | 588, 693, 118, 312, 547 |
| 2 | 294, 693, 59, 156, 547 |
| 3 | 147, 693, 59, 78, 547 |
| 7 | 49, 231, 59, 26, 547 |
| 7, 33, 59, 26, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 33 x 59 x 26 x 547 = 16281857592
Therefore, the lowest common multiple of 588,693,118,312,547 is 16281857592.
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.
588 x 693 x 118 x 312 x 547 = 8206056226368
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
118 : 1, 2, 59, 118
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,693,118,312,547, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
693:3x 3x 7x 11
118:2x 59
312:2x 2x 2x 3x 13
547:547
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 7 = 504
Therefore, the value for common factors is 504.
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 = 8206056226368/(1x504)
LCM = 8206056226368/504
LCM = 16281857592
Thus, we can understand that the LCM of 588,693,118,312,547 is 16281857592.
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FAQs on LCM of 588, 693, 118, 312, 547
1. What is the LCM of 588, 693, 118, 312, 547?
Answer: LCM of 588, 693, 118, 312, 547 is 16281857592.
2. How to calculate the LCM of 588, 693, 118, 312, 547?
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 588, 693, 118, 312, 547.
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}.