LCM of 924, 314, 364, 884, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 314, 364, 884, 628 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, 314, 364, 884, 628. So, keep reading to learn more.
Given numbers are 924,314,364,884,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,314,364,884,628 is 32060028.
Find LCM of 924,314,364,884,628 with Prime Factorization
| 2 | 924, 314, 364, 884, 628 |
| 2 | 462, 157, 182, 442, 314 |
| 7 | 231, 157, 91, 221, 157 |
| 13 | 33, 157, 13, 221, 157 |
| 157 | 33, 157, 1, 17, 157 |
| 33, 1, 1, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 157 x 33 x 1 x 1 x 17 x 1 = 32060028
Therefore, the lowest common multiple of 924,314,364,884,628 is 32060028.
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 314 x 364 x 884 x 628 = 58629327364608
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
314 : 1, 2, 157, 314
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
628 : 1, 2, 4, 157, 314, 628
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,314,364,884,628, is 2.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
314:2x 157
364:2x 2x 7x 13
884:2x 2x 13x 17
628:2x 2x 157
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 2x 7x 13x 157 = 914368
Therefore, the value for common factors is 914368.
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 = 58629327364608/(2x914368)
LCM = 58629327364608/1828736
LCM = 32060028
Thus, we can understand that the LCM of 924,314,364,884,628 is 32060028.
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FAQs on LCM of 924, 314, 364, 884, 628
1. What is the LCM of 924, 314, 364, 884, 628?
Answer: LCM of 924, 314, 364, 884, 628 is 32060028.
2. How to calculate the LCM of 924, 314, 364, 884, 628?
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, 314, 364, 884, 628.
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}.