LCM of 319, 748, 376, 257, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 748, 376, 257, 892 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 319, 748, 376, 257, 892. So, keep reading to learn more.
Given numbers are 319,748,376,257,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,748,376,257,892 is 116859879928.
Find LCM of 319,748,376,257,892 with Prime Factorization
| 2 | 319, 748, 376, 257, 892 |
| 2 | 319, 374, 188, 257, 446 |
| 11 | 319, 187, 94, 257, 223 |
| 29, 17, 94, 257, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 17 x 94 x 257 x 223 = 116859879928
Therefore, the lowest common multiple of 319,748,376,257,892 is 116859879928.
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.
319 x 748 x 376 x 257 x 892 = 20567338867328
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.
319 : 1, 11, 29, 319
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
376 : 1, 2, 4, 8, 47, 94, 188, 376
257 : 1, 257
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,748,376,257,892, is 1.
Now, the common factors can be found like this.
319:11x 29
748:2x 2x 11x 17
376:2x 2x 2x 47
257:257
892:2x 2x 223
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 11 = 176
Therefore, the value for common factors is 176.
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 = 20567338867328/(1x176)
LCM = 20567338867328/176
LCM = 116859879928
Thus, we can understand that the LCM of 319,748,376,257,892 is 116859879928.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 748, 376, 257, 892
1. What is the LCM of 319, 748, 376, 257, 892?
Answer: LCM of 319, 748, 376, 257, 892 is 116859879928.
2. How to calculate the LCM of 319, 748, 376, 257, 892?
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 319, 748, 376, 257, 892.
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}.