LCM of 724, 732, 602, 510, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 732, 602, 510, 234 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, 732, 602, 510, 234. So, keep reading to learn more.
Given numbers are 724,732,602,510,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,732,602,510,234 is 132202504980.
Find LCM of 724,732,602,510,234 with Prime Factorization
| 2 | 724, 732, 602, 510, 234 |
| 2 | 362, 366, 301, 255, 117 |
| 3 | 181, 183, 301, 255, 117 |
| 181, 61, 301, 85, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 181 x 61 x 301 x 85 x 39 = 132202504980
Therefore, the lowest common multiple of 724,732,602,510,234 is 132202504980.
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 732 x 602 x 510 x 234 = 38074321434240
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
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
602 : 1, 2, 7, 14, 43, 86, 301, 602
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,732,602,510,234, is 2.
Now, the common factors can be found like this.
724:2x 2x 181
732:2x 2x 3x 61
602:2x 7x 43
510:2x 3x 5x 17
234:2x 3x 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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 38074321434240/(2x144)
LCM = 38074321434240/288
LCM = 132202504980
Thus, we can understand that the LCM of 724,732,602,510,234 is 132202504980.
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FAQs on LCM of 724, 732, 602, 510, 234
1. What is the LCM of 724, 732, 602, 510, 234?
Answer: LCM of 724, 732, 602, 510, 234 is 132202504980.
2. How to calculate the LCM of 724, 732, 602, 510, 234?
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, 732, 602, 510, 234.
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}.