LCM of 766, 312, 672, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 766, 312, 672, 354 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 766, 312, 672, 354. So, keep reading to learn more.
Given numbers are 766,312,672,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,312,672,354 is 197407392.
Find LCM of 766,312,672,354 with Prime Factorization
| 2 | 766, 312, 672, 354 |
| 2 | 383, 156, 336, 177 |
| 2 | 383, 78, 168, 177 |
| 3 | 383, 39, 84, 177 |
| 383, 13, 28, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 383 x 13 x 28 x 59 = 197407392
Therefore, the lowest common multiple of 766,312,672,354 is 197407392.
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.
766 x 312 x 672 x 354 = 56853328896
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.
766 : 1, 2, 383, 766
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
354 : 1, 2, 3, 6, 59, 118, 177, 354
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,312,672,354, is 2.
Now, the common factors can be found like this.
766:2x 383
312:2x 2x 2x 3x 13
672:2x 2x 2x 2x 2x 3x 7
354:2x 3x 59
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 56853328896/(2x144)
LCM = 56853328896/288
LCM = 197407392
Thus, we can understand that the LCM of 766,312,672,354 is 197407392.
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FAQs on LCM of 766, 312, 672, 354
1. What is the LCM of 766, 312, 672, 354?
Answer: LCM of 766, 312, 672, 354 is 197407392.
2. How to calculate the LCM of 766, 312, 672, 354?
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 766, 312, 672, 354.
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}.