LCM of 548, 924, 560, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 924, 560, 753 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 548, 924, 560, 753. So, keep reading to learn more.
Given numbers are 548,924,560,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,924,560,753 is 635471760.
Find LCM of 548,924,560,753 with Prime Factorization
| 2 | 548, 924, 560, 753 |
| 2 | 274, 462, 280, 753 |
| 3 | 137, 231, 140, 753 |
| 7 | 137, 77, 140, 251 |
| 137, 11, 20, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 137 x 11 x 20 x 251 = 635471760
Therefore, the lowest common multiple of 548,924,560,753 is 635471760.
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.
548 x 924 x 560 x 753 = 213518511360
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.
548 : 1, 2, 4, 137, 274, 548
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
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,924,560,753, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
924:2x 2x 3x 7x 11
560:2x 2x 2x 2x 5x 7
753:3x 251
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 = 213518511360/(1x336)
LCM = 213518511360/336
LCM = 635471760
Thus, we can understand that the LCM of 548,924,560,753 is 635471760.
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FAQs on LCM of 548, 924, 560, 753
1. What is the LCM of 548, 924, 560, 753?
Answer: LCM of 548, 924, 560, 753 is 635471760.
2. How to calculate the LCM of 548, 924, 560, 753?
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 548, 924, 560, 753.
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}.