LCM of 877, 356, 282, 269, 303
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 877, 356, 282, 269, 303 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 877, 356, 282, 269, 303. So, keep reading to learn more.
Given numbers are 877,356,282,269,303
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 877,356,282,269,303 is 1196030783748.
Find LCM of 877,356,282,269,303 with Prime Factorization
| 2 | 877, 356, 282, 269, 303 |
| 3 | 877, 178, 141, 269, 303 |
| 877, 178, 47, 269, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 877 x 178 x 47 x 269 x 101 = 1196030783748
Therefore, the lowest common multiple of 877,356,282,269,303 is 1196030783748.
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.
877 x 356 x 282 x 269 x 303 = 7176184702488
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.
877 : 1, 877
356 : 1, 2, 4, 89, 178, 356
282 : 1, 2, 3, 6, 47, 94, 141, 282
269 : 1, 269
303 : 1, 3, 101, 303
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 877,356,282,269,303, is 1.
Now, the common factors can be found like this.
877:877
356:2x 2x 89
282:2x 3x 47
269:269
303:3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 7176184702488/(1x6)
LCM = 7176184702488/6
LCM = 1196030783748
Thus, we can understand that the LCM of 877,356,282,269,303 is 1196030783748.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 877, 356, 282, 269, 303
1. What is the LCM of 877, 356, 282, 269, 303?
Answer: LCM of 877, 356, 282, 269, 303 is 1196030783748.
2. How to calculate the LCM of 877, 356, 282, 269, 303?
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 877, 356, 282, 269, 303.
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}.