LCM of 390, 202, 716, 399, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 202, 716, 399, 968 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 390, 202, 716, 399, 968. So, keep reading to learn more.
Given numbers are 390,202,716,399,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,202,716,399,968 is 453874741320.
Find LCM of 390,202,716,399,968 with Prime Factorization
| 2 | 390, 202, 716, 399, 968 |
| 2 | 195, 101, 358, 399, 484 |
| 3 | 195, 101, 179, 399, 242 |
| 65, 101, 179, 133, 242 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 65 x 101 x 179 x 133 x 242 = 453874741320
Therefore, the lowest common multiple of 390,202,716,399,968 is 453874741320.
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.
390 x 202 x 716 x 399 x 968 = 21785987583360
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
202 : 1, 2, 101, 202
716 : 1, 2, 4, 179, 358, 716
399 : 1, 3, 7, 19, 21, 57, 133, 399
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,202,716,399,968, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
202:2x 101
716:2x 2x 179
399:3x 7x 19
968:2x 2x 2x 11x 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 3 = 48
Therefore, the value for common factors is 48.
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 = 21785987583360/(1x48)
LCM = 21785987583360/48
LCM = 453874741320
Thus, we can understand that the LCM of 390,202,716,399,968 is 453874741320.
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FAQs on LCM of 390, 202, 716, 399, 968
1. What is the LCM of 390, 202, 716, 399, 968?
Answer: LCM of 390, 202, 716, 399, 968 is 453874741320.
2. How to calculate the LCM of 390, 202, 716, 399, 968?
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 390, 202, 716, 399, 968.
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}.