LCM of 313, 440, 968, 719, 484
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 440, 968, 719, 484 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, 440, 968, 719, 484. So, keep reading to learn more.
Given numbers are 313,440,968,719,484
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,440,968,719,484 is 1089227480.
Find LCM of 313,440,968,719,484 with Prime Factorization
| 2 | 313, 440, 968, 719, 484 |
| 2 | 313, 220, 484, 719, 242 |
| 2 | 313, 110, 121, 719, 242 |
| 11 | 313, 55, 121, 719, 121 |
| 11 | 313, 5, 11, 719, 11 |
| 313, 5, 1, 719, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 11 x 313 x 5 x 1 x 719 x 1 = 1089227480
Therefore, the lowest common multiple of 313,440,968,719,484 is 1089227480.
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 440 x 968 x 719 x 484 = 46392376828160
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
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
719 : 1, 719
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,440,968,719,484, is 1.
Now, the common factors can be found like this.
313:313
440:2x 2x 2x 5x 11
968:2x 2x 2x 11x 11
719:719
484:2x 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 2x 11x 11x 11 = 42592
Therefore, the value for common factors is 42592.
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 = 46392376828160/(1x42592)
LCM = 46392376828160/42592
LCM = 1089227480
Thus, we can understand that the LCM of 313,440,968,719,484 is 1089227480.
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FAQs on LCM of 313, 440, 968, 719, 484
1. What is the LCM of 313, 440, 968, 719, 484?
Answer: LCM of 313, 440, 968, 719, 484 is 1089227480.
2. How to calculate the LCM of 313, 440, 968, 719, 484?
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, 440, 968, 719, 484.
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}.