LCM of 688, 565, 791, 348, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 565, 791, 348, 624 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 688, 565, 791, 348, 624. So, keep reading to learn more.
Given numbers are 688,565,791,348,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,565,791,348,624 is 3077496240.
Find LCM of 688,565,791,348,624 with Prime Factorization
| 2 | 688, 565, 791, 348, 624 |
| 2 | 344, 565, 791, 174, 312 |
| 2 | 172, 565, 791, 87, 156 |
| 2 | 86, 565, 791, 87, 78 |
| 3 | 43, 565, 791, 87, 39 |
| 113 | 43, 565, 791, 29, 13 |
| 43, 5, 7, 29, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 113 x 43 x 5 x 7 x 29 x 13 = 3077496240
Therefore, the lowest common multiple of 688,565,791,348,624 is 3077496240.
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.
688 x 565 x 791 x 348 x 624 = 66769358423040
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
565 : 1, 5, 113, 565
791 : 1, 7, 113, 791
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,565,791,348,624, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
565:5x 113
791:7x 113
348:2x 2x 3x 29
624:2x 2x 2x 2x 3x 13
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 2x 2x 2x 3x 113 = 21696
Therefore, the value for common factors is 21696.
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 = 66769358423040/(1x21696)
LCM = 66769358423040/21696
LCM = 3077496240
Thus, we can understand that the LCM of 688,565,791,348,624 is 3077496240.
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FAQs on LCM of 688, 565, 791, 348, 624
1. What is the LCM of 688, 565, 791, 348, 624?
Answer: LCM of 688, 565, 791, 348, 624 is 3077496240.
2. How to calculate the LCM of 688, 565, 791, 348, 624?
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 688, 565, 791, 348, 624.
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}.