LCM of 407, 866, 276, 370, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 866, 276, 370, 498 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 407, 866, 276, 370, 498. So, keep reading to learn more.
Given numbers are 407,866,276,370,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,866,276,370,498 is 20185498740.
Find LCM of 407,866,276,370,498 with Prime Factorization
| 2 | 407, 866, 276, 370, 498 |
| 3 | 407, 433, 138, 185, 249 |
| 37 | 407, 433, 46, 185, 83 |
| 11, 433, 46, 5, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 11 x 433 x 46 x 5 x 83 = 20185498740
Therefore, the lowest common multiple of 407,866,276,370,498 is 20185498740.
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.
407 x 866 x 276 x 370 x 498 = 17924722881120
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.
407 : 1, 11, 37, 407
866 : 1, 2, 433, 866
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
370 : 1, 2, 5, 10, 37, 74, 185, 370
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,866,276,370,498, is 1.
Now, the common factors can be found like this.
407:11x 37
866:2x 433
276:2x 2x 3x 23
370:2x 5x 37
498:2x 3x 83
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 3x 37 = 888
Therefore, the value for common factors is 888.
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 = 17924722881120/(1x888)
LCM = 17924722881120/888
LCM = 20185498740
Thus, we can understand that the LCM of 407,866,276,370,498 is 20185498740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 407, 866, 276, 370, 498
1. What is the LCM of 407, 866, 276, 370, 498?
Answer: LCM of 407, 866, 276, 370, 498 is 20185498740.
2. How to calculate the LCM of 407, 866, 276, 370, 498?
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 407, 866, 276, 370, 498.
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}.