LCM of 767, 312, 354, 390, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 312, 354, 390, 308 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, 312, 354, 390, 308. So, keep reading to learn more.
Given numbers are 767,312,354,390,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,312,354,390,308 is 7087080.
Find LCM of 767,312,354,390,308 with Prime Factorization
| 2 | 767, 312, 354, 390, 308 |
| 2 | 767, 156, 177, 195, 154 |
| 3 | 767, 78, 177, 195, 77 |
| 13 | 767, 26, 59, 65, 77 |
| 59 | 59, 2, 59, 5, 77 |
| 1, 2, 1, 5, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 59 x 1 x 2 x 1 x 5 x 77 = 7087080
Therefore, the lowest common multiple of 767,312,354,390,308 is 7087080.
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 312 x 354 x 390 x 308 = 10175799553920
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
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
354 : 1, 2, 3, 6, 59, 118, 177, 354
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,312,354,390,308, is 1.
Now, the common factors can be found like this.
767:13x 59
312:2x 2x 2x 3x 13
354:2x 3x 59
390:2x 3x 5x 13
308:2x 2x 7x 11
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 3x 13x 13x 59 = 1435824
Therefore, the value for common factors is 1435824.
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 = 10175799553920/(1x1435824)
LCM = 10175799553920/1435824
LCM = 7087080
Thus, we can understand that the LCM of 767,312,354,390,308 is 7087080.
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FAQs on LCM of 767, 312, 354, 390, 308
1. What is the LCM of 767, 312, 354, 390, 308?
Answer: LCM of 767, 312, 354, 390, 308 is 7087080.
2. How to calculate the LCM of 767, 312, 354, 390, 308?
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, 312, 354, 390, 308.
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}.