LCM of 348, 892, 865, 783, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 892, 865, 783, 762 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 348, 892, 865, 783, 762. So, keep reading to learn more.
Given numbers are 348,892,865,783,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,892,865,783,762 is 76726686780.
Find LCM of 348,892,865,783,762 with Prime Factorization
| 2 | 348, 892, 865, 783, 762 |
| 2 | 174, 446, 865, 783, 381 |
| 3 | 87, 223, 865, 783, 381 |
| 29 | 29, 223, 865, 261, 127 |
| 1, 223, 865, 9, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 1 x 223 x 865 x 9 x 127 = 76726686780
Therefore, the lowest common multiple of 348,892,865,783,762 is 76726686780.
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.
348 x 892 x 865 x 783 x 762 = 160205321996640
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
892 : 1, 2, 4, 223, 446, 892
865 : 1, 5, 173, 865
783 : 1, 3, 9, 27, 29, 87, 261, 783
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,892,865,783,762, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
892:2x 2x 223
865:5x 173
783:3x 3x 3x 29
762:2x 3x 127
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 29 = 2088
Therefore, the value for common factors is 2088.
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 = 160205321996640/(1x2088)
LCM = 160205321996640/2088
LCM = 76726686780
Thus, we can understand that the LCM of 348,892,865,783,762 is 76726686780.
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FAQs on LCM of 348, 892, 865, 783, 762
1. What is the LCM of 348, 892, 865, 783, 762?
Answer: LCM of 348, 892, 865, 783, 762 is 76726686780.
2. How to calculate the LCM of 348, 892, 865, 783, 762?
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 348, 892, 865, 783, 762.
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}.