LCM of 624, 383, 688, 253, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 383, 688, 253, 715 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 624, 383, 688, 253, 715. So, keep reading to learn more.
Given numbers are 624,383,688,253,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,383,688,253,715 is 12999969840.
Find LCM of 624,383,688,253,715 with Prime Factorization
| 2 | 624, 383, 688, 253, 715 |
| 2 | 312, 383, 344, 253, 715 |
| 2 | 156, 383, 172, 253, 715 |
| 2 | 78, 383, 86, 253, 715 |
| 11 | 39, 383, 43, 253, 715 |
| 13 | 39, 383, 43, 23, 65 |
| 3, 383, 43, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 13 x 3 x 383 x 43 x 23 x 5 = 12999969840
Therefore, the lowest common multiple of 624,383,688,253,715 is 12999969840.
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.
624 x 383 x 688 x 253 x 715 = 29743930993920
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
383 : 1, 383
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
253 : 1, 11, 23, 253
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,383,688,253,715, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
383:383
688:2x 2x 2x 2x 43
253:11x 23
715:5x 11x 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 11x 13 = 2288
Therefore, the value for common factors is 2288.
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 = 29743930993920/(1x2288)
LCM = 29743930993920/2288
LCM = 12999969840
Thus, we can understand that the LCM of 624,383,688,253,715 is 12999969840.
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FAQs on LCM of 624, 383, 688, 253, 715
1. What is the LCM of 624, 383, 688, 253, 715?
Answer: LCM of 624, 383, 688, 253, 715 is 12999969840.
2. How to calculate the LCM of 624, 383, 688, 253, 715?
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 624, 383, 688, 253, 715.
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}.