LCM of 767, 936, 704, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 936, 704, 376 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 767, 936, 704, 376. So, keep reading to learn more.
Given numbers are 767,936,704,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,936,704,376 is 228406464.
Find LCM of 767,936,704,376 with Prime Factorization
| 2 | 767, 936, 704, 376 |
| 2 | 767, 468, 352, 188 |
| 2 | 767, 234, 176, 94 |
| 13 | 767, 117, 88, 47 |
| 59, 9, 88, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 59 x 9 x 88 x 47 = 228406464
Therefore, the lowest common multiple of 767,936,704,376 is 228406464.
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.
767 x 936 x 704 x 376 = 190034178048
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.
767 : 1, 13, 59, 767
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,936,704,376, is 1.
Now, the common factors can be found like this.
767:13x 59
936:2x 2x 2x 3x 3x 13
704:2x 2x 2x 2x 2x 2x 11
376:2x 2x 2x 47
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 13 = 832
Therefore, the value for common factors is 832.
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 = 190034178048/(1x832)
LCM = 190034178048/832
LCM = 228406464
Thus, we can understand that the LCM of 767,936,704,376 is 228406464.
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FAQs on LCM of 767, 936, 704, 376
1. What is the LCM of 767, 936, 704, 376?
Answer: LCM of 767, 936, 704, 376 is 228406464.
2. How to calculate the LCM of 767, 936, 704, 376?
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 767, 936, 704, 376.
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}.