LCM of 279, 537, 740, 935, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 537, 740, 935, 363 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 279, 537, 740, 935, 363. So, keep reading to learn more.
Given numbers are 279,537,740,935,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,537,740,935,363 is 76019191380.
Find LCM of 279,537,740,935,363 with Prime Factorization
| 3 | 279, 537, 740, 935, 363 |
| 5 | 93, 179, 740, 935, 121 |
| 11 | 93, 179, 148, 187, 121 |
| 93, 179, 148, 17, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 93 x 179 x 148 x 17 x 11 = 76019191380
Therefore, the lowest common multiple of 279,537,740,935,363 is 76019191380.
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.
279 x 537 x 740 x 935 x 363 = 37629499733100
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.
279 : 1, 3, 9, 31, 93, 279
537 : 1, 3, 179, 537
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
935 : 1, 5, 11, 17, 55, 85, 187, 935
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,537,740,935,363, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
537:3x 179
740:2x 2x 5x 37
935:5x 11x 17
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11 = 495
Therefore, the value for common factors is 495.
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 = 37629499733100/(1x495)
LCM = 37629499733100/495
LCM = 76019191380
Thus, we can understand that the LCM of 279,537,740,935,363 is 76019191380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 279, 537, 740, 935, 363
1. What is the LCM of 279, 537, 740, 935, 363?
Answer: LCM of 279, 537, 740, 935, 363 is 76019191380.
2. How to calculate the LCM of 279, 537, 740, 935, 363?
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 279, 537, 740, 935, 363.
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}.