LCM of 224, 732, 260, 472, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 732, 260, 472, 533 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 224, 732, 260, 472, 533. So, keep reading to learn more.
Given numbers are 224,732,260,472,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,732,260,472,533 is 6445377120.
Find LCM of 224,732,260,472,533 with Prime Factorization
| 2 | 224, 732, 260, 472, 533 |
| 2 | 112, 366, 130, 236, 533 |
| 2 | 56, 183, 65, 118, 533 |
| 13 | 28, 183, 65, 59, 533 |
| 28, 183, 5, 59, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 28 x 183 x 5 x 59 x 41 = 6445377120
Therefore, the lowest common multiple of 224,732,260,472,533 is 6445377120.
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.
224 x 732 x 260 x 472 x 533 = 10725107527680
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
472 : 1, 2, 4, 8, 59, 118, 236, 472
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,732,260,472,533, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
732:2x 2x 3x 61
260:2x 2x 5x 13
472:2x 2x 2x 59
533:13x 41
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 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 10725107527680/(1x1664)
LCM = 10725107527680/1664
LCM = 6445377120
Thus, we can understand that the LCM of 224,732,260,472,533 is 6445377120.
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FAQs on LCM of 224, 732, 260, 472, 533
1. What is the LCM of 224, 732, 260, 472, 533?
Answer: LCM of 224, 732, 260, 472, 533 is 6445377120.
2. How to calculate the LCM of 224, 732, 260, 472, 533?
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 224, 732, 260, 472, 533.
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}.