LCM of 756, 760, 390, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 760, 390, 314 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 756, 760, 390, 314. So, keep reading to learn more.
Given numbers are 756,760,390,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,760,390,314 is 293169240.
Find LCM of 756,760,390,314 with Prime Factorization
| 2 | 756, 760, 390, 314 |
| 2 | 378, 380, 195, 157 |
| 3 | 189, 190, 195, 157 |
| 5 | 63, 190, 65, 157 |
| 63, 38, 13, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 63 x 38 x 13 x 157 = 293169240
Therefore, the lowest common multiple of 756,760,390,314 is 293169240.
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.
756 x 760 x 390 x 314 = 70360617600
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.
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,760,390,314, is 2.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
760:2x 2x 2x 5x 19
390:2x 3x 5x 13
314:2x 157
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 70360617600/(2x120)
LCM = 70360617600/240
LCM = 293169240
Thus, we can understand that the LCM of 756,760,390,314 is 293169240.
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FAQs on LCM of 756, 760, 390, 314
1. What is the LCM of 756, 760, 390, 314?
Answer: LCM of 756, 760, 390, 314 is 293169240.
2. How to calculate the LCM of 756, 760, 390, 314?
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 756, 760, 390, 314.
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}.