LCM of 416, 316, 627, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 316, 627, 748 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 416, 316, 627, 748. So, keep reading to learn more.
Given numbers are 416,316,627,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,316,627,748 is 350297376.
Find LCM of 416,316,627,748 with Prime Factorization
| 2 | 416, 316, 627, 748 |
| 2 | 208, 158, 627, 374 |
| 11 | 104, 79, 627, 187 |
| 104, 79, 57, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 104 x 79 x 57 x 17 = 350297376
Therefore, the lowest common multiple of 416,316,627,748 is 350297376.
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.
416 x 316 x 627 x 748 = 61652338176
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
316 : 1, 2, 4, 79, 158, 316
627 : 1, 3, 11, 19, 33, 57, 209, 627
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,316,627,748, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
316:2x 2x 79
627:3x 11x 19
748:2x 2x 11x 17
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 11 = 176
Therefore, the value for common factors is 176.
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 = 61652338176/(1x176)
LCM = 61652338176/176
LCM = 350297376
Thus, we can understand that the LCM of 416,316,627,748 is 350297376.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 416, 316, 627, 748
1. What is the LCM of 416, 316, 627, 748?
Answer: LCM of 416, 316, 627, 748 is 350297376.
2. How to calculate the LCM of 416, 316, 627, 748?
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 416, 316, 627, 748.
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}.