LCM of 924, 968, 791, 910, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 968, 791, 910, 676 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 924, 968, 791, 910, 676. So, keep reading to learn more.
Given numbers are 924,968,791,910,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,968,791,910,676 is 1941019080.
Find LCM of 924,968,791,910,676 with Prime Factorization
| 2 | 924, 968, 791, 910, 676 |
| 2 | 462, 484, 791, 455, 338 |
| 7 | 231, 242, 791, 455, 169 |
| 11 | 33, 242, 113, 65, 169 |
| 13 | 3, 22, 113, 65, 169 |
| 3, 22, 113, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 13 x 3 x 22 x 113 x 5 x 13 = 1941019080
Therefore, the lowest common multiple of 924,968,791,910,676 is 1941019080.
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.
924 x 968 x 791 x 910 x 676 = 435223062193920
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
791 : 1, 7, 113, 791
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,968,791,910,676, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
968:2x 2x 2x 11x 11
791:7x 113
910:2x 5x 7x 13
676:2x 2x 13x 13
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 7x 7x 11x 13 = 224224
Therefore, the value for common factors is 224224.
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 = 435223062193920/(1x224224)
LCM = 435223062193920/224224
LCM = 1941019080
Thus, we can understand that the LCM of 924,968,791,910,676 is 1941019080.
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FAQs on LCM of 924, 968, 791, 910, 676
1. What is the LCM of 924, 968, 791, 910, 676?
Answer: LCM of 924, 968, 791, 910, 676 is 1941019080.
2. How to calculate the LCM of 924, 968, 791, 910, 676?
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 924, 968, 791, 910, 676.
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}.