LCM of 624, 493, 273, 924, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 493, 273, 924, 473 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 624, 493, 273, 924, 473. So, keep reading to learn more.
Given numbers are 624,493,273,924,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,493,273,924,473 is 1018569552.
Find LCM of 624,493,273,924,473 with Prime Factorization
| 2 | 624, 493, 273, 924, 473 |
| 2 | 312, 493, 273, 462, 473 |
| 3 | 156, 493, 273, 231, 473 |
| 7 | 52, 493, 91, 77, 473 |
| 11 | 52, 493, 13, 11, 473 |
| 13 | 52, 493, 13, 1, 43 |
| 4, 493, 1, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 13 x 4 x 493 x 1 x 1 x 43 = 1018569552
Therefore, the lowest common multiple of 624,493,273,924,473 is 1018569552.
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.
624 x 493 x 273 x 924 x 473 = 36705172375872
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
493 : 1, 17, 29, 493
273 : 1, 3, 7, 13, 21, 39, 91, 273
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
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,493,273,924,473, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
493:17x 29
273:3x 7x 13
924:2x 2x 3x 7x 11
473:11x 43
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 3x 3x 7x 11x 13 = 36036
Therefore, the value for common factors is 36036.
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 = 36705172375872/(1x36036)
LCM = 36705172375872/36036
LCM = 1018569552
Thus, we can understand that the LCM of 624,493,273,924,473 is 1018569552.
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FAQs on LCM of 624, 493, 273, 924, 473
1. What is the LCM of 624, 493, 273, 924, 473?
Answer: LCM of 624, 493, 273, 924, 473 is 1018569552.
2. How to calculate the LCM of 624, 493, 273, 924, 473?
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 624, 493, 273, 924, 473.
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}.