LCM of 387, 234, 519, 572, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 234, 519, 572, 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 387, 234, 519, 572, 624. So, keep reading to learn more.
Given numbers are 387,234,519,572,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,234,519,572,624 is 153183888.
Find LCM of 387,234,519,572,624 with Prime Factorization
| 2 | 387, 234, 519, 572, 624 |
| 2 | 387, 117, 519, 286, 312 |
| 3 | 387, 117, 519, 143, 156 |
| 3 | 129, 39, 173, 143, 52 |
| 13 | 43, 13, 173, 143, 52 |
| 43, 1, 173, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 43 x 1 x 173 x 11 x 4 = 153183888
Therefore, the lowest common multiple of 387,234,519,572,624 is 153183888.
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.
387 x 234 x 519 x 572 x 624 = 16775473942656
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.
387 : 1, 3, 9, 43, 129, 387
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
519 : 1, 3, 173, 519
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
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 387,234,519,572,624, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
234:2x 3x 3x 13
519:3x 173
572:2x 2x 11x 13
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 3x 3x 3x 3x 13x 13 = 109512
Therefore, the value for common factors is 109512.
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 = 16775473942656/(1x109512)
LCM = 16775473942656/109512
LCM = 153183888
Thus, we can understand that the LCM of 387,234,519,572,624 is 153183888.
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FAQs on LCM of 387, 234, 519, 572, 624
1. What is the LCM of 387, 234, 519, 572, 624?
Answer: LCM of 387, 234, 519, 572, 624 is 153183888.
2. How to calculate the LCM of 387, 234, 519, 572, 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 387, 234, 519, 572, 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}.