LCM of 773, 924, 692, 497, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 924, 692, 497, 288 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 773, 924, 692, 497, 288. So, keep reading to learn more.
Given numbers are 773,924,692,497,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,924,692,497,288 is 210555775584.
Find LCM of 773,924,692,497,288 with Prime Factorization
| 2 | 773, 924, 692, 497, 288 |
| 2 | 773, 462, 346, 497, 144 |
| 3 | 773, 231, 173, 497, 72 |
| 7 | 773, 77, 173, 497, 24 |
| 773, 11, 173, 71, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 773 x 11 x 173 x 71 x 24 = 210555775584
Therefore, the lowest common multiple of 773,924,692,497,288 is 210555775584.
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.
773 x 924 x 692 x 497 x 288 = 70746740596224
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.
773 : 1, 773
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
692 : 1, 2, 4, 173, 346, 692
497 : 1, 7, 71, 497
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,924,692,497,288, is 1.
Now, the common factors can be found like this.
773:773
924:2x 2x 3x 7x 11
692:2x 2x 173
497:7x 71
288:2x 2x 2x 2x 2x 3x 3
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 7 = 336
Therefore, the value for common factors is 336.
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 = 70746740596224/(1x336)
LCM = 70746740596224/336
LCM = 210555775584
Thus, we can understand that the LCM of 773,924,692,497,288 is 210555775584.
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FAQs on LCM of 773, 924, 692, 497, 288
1. What is the LCM of 773, 924, 692, 497, 288?
Answer: LCM of 773, 924, 692, 497, 288 is 210555775584.
2. How to calculate the LCM of 773, 924, 692, 497, 288?
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 773, 924, 692, 497, 288.
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}.