LCM of 724, 321, 624, 642, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 321, 624, 642, 543 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 724, 321, 624, 642, 543. So, keep reading to learn more.
Given numbers are 724,321,624,642,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,321,624,642,543 is 12085008.
Find LCM of 724,321,624,642,543 with Prime Factorization
| 2 | 724, 321, 624, 642, 543 |
| 2 | 362, 321, 312, 321, 543 |
| 3 | 181, 321, 156, 321, 543 |
| 107 | 181, 107, 52, 107, 181 |
| 181 | 181, 1, 52, 1, 181 |
| 1, 1, 52, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 181 x 1 x 1 x 52 x 1 x 1 = 12085008
Therefore, the lowest common multiple of 724,321,624,642,543 is 12085008.
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.
724 x 321 x 624 x 642 x 543 = 50554875586176
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.
724 : 1, 2, 4, 181, 362, 724
321 : 1, 3, 107, 321
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
642 : 1, 2, 3, 6, 107, 214, 321, 642
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,321,624,642,543, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
321:3x 107
624:2x 2x 2x 2x 3x 13
642:2x 3x 107
543:3x 181
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 107x 181 = 4183272
Therefore, the value for common factors is 4183272.
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 = 50554875586176/(1x4183272)
LCM = 50554875586176/4183272
LCM = 12085008
Thus, we can understand that the LCM of 724,321,624,642,543 is 12085008.
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FAQs on LCM of 724, 321, 624, 642, 543
1. What is the LCM of 724, 321, 624, 642, 543?
Answer: LCM of 724, 321, 624, 642, 543 is 12085008.
2. How to calculate the LCM of 724, 321, 624, 642, 543?
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 724, 321, 624, 642, 543.
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}.