LCM of 246, 730, 635, 100, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 730, 635, 100, 635 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 246, 730, 635, 100, 635. So, keep reading to learn more.
Given numbers are 246,730,635,100,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,730,635,100,635 is 114033300.
Find LCM of 246,730,635,100,635 with Prime Factorization
| 2 | 246, 730, 635, 100, 635 |
| 5 | 123, 365, 635, 50, 635 |
| 127 | 123, 73, 127, 10, 127 |
| 123, 73, 1, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 127 x 123 x 73 x 1 x 10 x 1 = 114033300
Therefore, the lowest common multiple of 246,730,635,100,635 is 114033300.
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.
246 x 730 x 635 x 100 x 635 = 7241114550000
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
730 : 1, 2, 5, 10, 73, 146, 365, 730
635 : 1, 5, 127, 635
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,730,635,100,635, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
730:2x 5x 73
635:5x 127
100:2x 2x 5x 5
635:5x 127
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 5x 5x 5x 127 = 63500
Therefore, the value for common factors is 63500.
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 = 7241114550000/(1x63500)
LCM = 7241114550000/63500
LCM = 114033300
Thus, we can understand that the LCM of 246,730,635,100,635 is 114033300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 246, 730, 635, 100, 635
1. What is the LCM of 246, 730, 635, 100, 635?
Answer: LCM of 246, 730, 635, 100, 635 is 114033300.
2. How to calculate the LCM of 246, 730, 635, 100, 635?
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 246, 730, 635, 100, 635.
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}.