Find the LCM of 313, 314, 594, 766, 378 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 313, 314, 594, 766, 378. So, keep reading to learn more.
Given numbers are 313,314,594,766,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,314,594,766,378 is 78257730474.
Find LCM of 313,314,594,766,378 with Prime Factorization
2 | 313, 314, 594, 766, 378 |
3 | 313, 157, 297, 383, 189 |
3 | 313, 157, 99, 383, 63 |
3 | 313, 157, 33, 383, 21 |
313, 157, 11, 383, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 313 x 157 x 11 x 383 x 7 = 78257730474
Therefore, the lowest common multiple of 313,314,594,766,378 is 78257730474.
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.
313 x 314 x 594 x 766 x 378 = 16903669782384
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.
313 : 1, 313
314 : 1, 2, 157, 314
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
766 : 1, 2, 383, 766
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,314,594,766,378, is 1.
Now, the common factors can be found like this.
313:313
314:2x 157
594:2x 3x 3x 3x 11
766:2x 383
378:2x 3x 3x 3x 7
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 16903669782384/(1x216)
LCM = 16903669782384/216
LCM = 78257730474
Thus, we can understand that the LCM of 313,314,594,766,378 is 78257730474.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 313, 314, 594, 766, 378?
Answer: LCM of 313, 314, 594, 766, 378 is 78257730474.
2. How to calculate the LCM of 313, 314, 594, 766, 378?
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 313, 314, 594, 766, 378.
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}.