LCM of 732, 562, 849, 134
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 562, 849, 134 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 732, 562, 849, 134. So, keep reading to learn more.
Given numbers are 732,562,849,134
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,562,849,134 is 3900126012.
Find LCM of 732,562,849,134 with Prime Factorization
| 2 | 732, 562, 849, 134 |
| 3 | 366, 281, 849, 67 |
| 122, 281, 283, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 122 x 281 x 283 x 67 = 3900126012
Therefore, the lowest common multiple of 732,562,849,134 is 3900126012.
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.
732 x 562 x 849 x 134 = 46801512144
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
562 : 1, 2, 281, 562
849 : 1, 3, 283, 849
134 : 1, 2, 67, 134
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,562,849,134, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
562:2x 281
849:3x 283
134:2x 67
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 3 = 12
Therefore, the value for common factors is 12.
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 = 46801512144/(1x12)
LCM = 46801512144/12
LCM = 3900126012
Thus, we can understand that the LCM of 732,562,849,134 is 3900126012.
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FAQs on LCM of 732, 562, 849, 134
1. What is the LCM of 732, 562, 849, 134?
Answer: LCM of 732, 562, 849, 134 is 3900126012.
2. How to calculate the LCM of 732, 562, 849, 134?
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 732, 562, 849, 134.
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}.