LCM of 918, 697, 990, 924, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 918, 697, 990, 924, 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 918, 697, 990, 924, 676. So, keep reading to learn more.
Given numbers are 918,697,990,924,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,697,990,924,676 is 4897832940.
Find LCM of 918,697,990,924,676 with Prime Factorization
| 2 | 918, 697, 990, 924, 676 |
| 2 | 459, 697, 495, 462, 338 |
| 3 | 459, 697, 495, 231, 169 |
| 3 | 153, 697, 165, 77, 169 |
| 11 | 51, 697, 55, 77, 169 |
| 17 | 51, 697, 5, 7, 169 |
| 3, 41, 5, 7, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 17 x 3 x 41 x 5 x 7 x 169 = 4897832940
Therefore, the lowest common multiple of 918,697,990,924,676 is 4897832940.
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.
918 x 697 x 990 x 924 x 676 = 395666536224960
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
697 : 1, 17, 41, 697
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
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
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 918,697,990,924,676, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
697:17x 41
990:2x 3x 3x 5x 11
924:2x 2x 3x 7x 11
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 3x 3x 3x 11x 17 = 80784
Therefore, the value for common factors is 80784.
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 = 395666536224960/(1x80784)
LCM = 395666536224960/80784
LCM = 4897832940
Thus, we can understand that the LCM of 918,697,990,924,676 is 4897832940.
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FAQs on LCM of 918, 697, 990, 924, 676
1. What is the LCM of 918, 697, 990, 924, 676?
Answer: LCM of 918, 697, 990, 924, 676 is 4897832940.
2. How to calculate the LCM of 918, 697, 990, 924, 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 918, 697, 990, 924, 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}.