LCM of 376, 916, 969, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 916, 969, 312 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 376, 916, 969, 312. So, keep reading to learn more.
Given numbers are 376,916,969,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,916,969,312 is 1084652088.
Find LCM of 376,916,969,312 with Prime Factorization
| 2 | 376, 916, 969, 312 |
| 2 | 188, 458, 969, 156 |
| 2 | 94, 229, 969, 78 |
| 3 | 47, 229, 969, 39 |
| 47, 229, 323, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 47 x 229 x 323 x 13 = 1084652088
Therefore, the lowest common multiple of 376,916,969,312 is 1084652088.
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.
376 x 916 x 969 x 312 = 104126600448
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
916 : 1, 2, 4, 229, 458, 916
969 : 1, 3, 17, 19, 51, 57, 323, 969
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,916,969,312, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
916:2x 2x 229
969:3x 17x 19
312:2x 2x 2x 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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 104126600448/(1x96)
LCM = 104126600448/96
LCM = 1084652088
Thus, we can understand that the LCM of 376,916,969,312 is 1084652088.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 376, 916, 969, 312
1. What is the LCM of 376, 916, 969, 312?
Answer: LCM of 376, 916, 969, 312 is 1084652088.
2. How to calculate the LCM of 376, 916, 969, 312?
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 376, 916, 969, 312.
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}.