LCM of 273, 656, 782, 758, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 656, 782, 758, 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 273, 656, 782, 758, 533. So, keep reading to learn more.
Given numbers are 273,656,782,758,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,656,782,758,533 is 26538871632.
Find LCM of 273,656,782,758,533 with Prime Factorization
| 2 | 273, 656, 782, 758, 533 |
| 13 | 273, 328, 391, 379, 533 |
| 41 | 21, 328, 391, 379, 41 |
| 21, 8, 391, 379, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 41 x 21 x 8 x 391 x 379 x 1 = 26538871632
Therefore, the lowest common multiple of 273,656,782,758,533 is 26538871632.
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.
273 x 656 x 782 x 758 x 533 = 56580874319424
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
782 : 1, 2, 17, 23, 34, 46, 391, 782
758 : 1, 2, 379, 758
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,656,782,758,533, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
656:2x 2x 2x 2x 41
782:2x 17x 23
758:2x 379
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 13x 41 = 2132
Therefore, the value for common factors is 2132.
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 = 56580874319424/(1x2132)
LCM = 56580874319424/2132
LCM = 26538871632
Thus, we can understand that the LCM of 273,656,782,758,533 is 26538871632.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 273, 656, 782, 758, 533
1. What is the LCM of 273, 656, 782, 758, 533?
Answer: LCM of 273, 656, 782, 758, 533 is 26538871632.
2. How to calculate the LCM of 273, 656, 782, 758, 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 273, 656, 782, 758, 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}.