LCM of 736, 724, 736, 502, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 724, 736, 502, 578 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 736, 724, 736, 502, 578. So, keep reading to learn more.
Given numbers are 736,724,736,502,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,724,736,502,578 is 9663355424.
Find LCM of 736,724,736,502,578 with Prime Factorization
| 2 | 736, 724, 736, 502, 578 |
| 2 | 368, 362, 368, 251, 289 |
| 2 | 184, 181, 184, 251, 289 |
| 2 | 92, 181, 92, 251, 289 |
| 2 | 46, 181, 46, 251, 289 |
| 23 | 23, 181, 23, 251, 289 |
| 1, 181, 1, 251, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 23 x 1 x 181 x 1 x 251 x 289 = 9663355424
Therefore, the lowest common multiple of 736,724,736,502,578 is 9663355424.
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.
736 x 724 x 736 x 502 x 578 = 113795673473024
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
724 : 1, 2, 4, 181, 362, 724
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
502 : 1, 2, 251, 502
578 : 1, 2, 17, 34, 289, 578
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,724,736,502,578, is 2.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
724:2x 2x 181
736:2x 2x 2x 2x 2x 23
502:2x 251
578:2x 17x 17
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 2x 2x 23 = 5888
Therefore, the value for common factors is 5888.
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 = 113795673473024/(2x5888)
LCM = 113795673473024/11776
LCM = 9663355424
Thus, we can understand that the LCM of 736,724,736,502,578 is 9663355424.
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FAQs on LCM of 736, 724, 736, 502, 578
1. What is the LCM of 736, 724, 736, 502, 578?
Answer: LCM of 736, 724, 736, 502, 578 is 9663355424.
2. How to calculate the LCM of 736, 724, 736, 502, 578?
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 736, 724, 736, 502, 578.
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}.