LCM of 624, 276, 589, 572, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 276, 589, 572, 310 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, 276, 589, 572, 310. So, keep reading to learn more.
Given numbers are 624,276,589,572,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,276,589,572,310 is 464933040.
Find LCM of 624,276,589,572,310 with Prime Factorization
| 2 | 624, 276, 589, 572, 310 |
| 2 | 312, 138, 589, 286, 155 |
| 3 | 156, 69, 589, 143, 155 |
| 13 | 52, 23, 589, 143, 155 |
| 31 | 4, 23, 589, 11, 155 |
| 4, 23, 19, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 31 x 4 x 23 x 19 x 11 x 5 = 464933040
Therefore, the lowest common multiple of 624,276,589,572,310 is 464933040.
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 276 x 589 x 572 x 310 = 17987329451520
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
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
589 : 1, 19, 31, 589
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,276,589,572,310, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
276:2x 2x 3x 23
589:19x 31
572:2x 2x 11x 13
310:2x 5x 31
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 3x 13x 31 = 38688
Therefore, the value for common factors is 38688.
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 = 17987329451520/(1x38688)
LCM = 17987329451520/38688
LCM = 464933040
Thus, we can understand that the LCM of 624,276,589,572,310 is 464933040.
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FAQs on LCM of 624, 276, 589, 572, 310
1. What is the LCM of 624, 276, 589, 572, 310?
Answer: LCM of 624, 276, 589, 572, 310 is 464933040.
2. How to calculate the LCM of 624, 276, 589, 572, 310?
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, 276, 589, 572, 310.
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}.