LCM of 902, 713, 279, 240, 278
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 713, 279, 240, 278 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 902, 713, 279, 240, 278. So, keep reading to learn more.
Given numbers are 902,713,279,240,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,713,279,240,278 is 32182025040.
Find LCM of 902,713,279,240,278 with Prime Factorization
| 2 | 902, 713, 279, 240, 278 |
| 3 | 451, 713, 279, 120, 139 |
| 31 | 451, 713, 93, 40, 139 |
| 451, 23, 3, 40, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 451 x 23 x 3 x 40 x 139 = 32182025040
Therefore, the lowest common multiple of 902,713,279,240,278 is 32182025040.
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.
902 x 713 x 279 x 240 x 278 = 11971713314880
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
713 : 1, 23, 31, 713
279 : 1, 3, 9, 31, 93, 279
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,713,279,240,278, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
713:23x 31
279:3x 3x 31
240:2x 2x 2x 2x 3x 5
278:2x 139
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 31 = 372
Therefore, the value for common factors is 372.
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 = 11971713314880/(1x372)
LCM = 11971713314880/372
LCM = 32182025040
Thus, we can understand that the LCM of 902,713,279,240,278 is 32182025040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 713, 279, 240, 278
1. What is the LCM of 902, 713, 279, 240, 278?
Answer: LCM of 902, 713, 279, 240, 278 is 32182025040.
2. How to calculate the LCM of 902, 713, 279, 240, 278?
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 902, 713, 279, 240, 278.
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}.