LCM of 263, 735, 538, 249, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 263, 735, 538, 249, 107 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 263, 735, 538, 249, 107. So, keep reading to learn more.
Given numbers are 263,735,538,249,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,735,538,249,107 is 923607037290.
Find LCM of 263,735,538,249,107 with Prime Factorization
| 3 | 263, 735, 538, 249, 107 |
| 263, 245, 538, 83, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 263 x 245 x 538 x 83 x 107 = 923607037290
Therefore, the lowest common multiple of 263,735,538,249,107 is 923607037290.
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.
263 x 735 x 538 x 249 x 107 = 2770821111870
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.
263 : 1, 263
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
538 : 1, 2, 269, 538
249 : 1, 3, 83, 249
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,735,538,249,107, is 1.
Now, the common factors can be found like this.
263:263
735:3x 5x 7x 7
538:2x 269
249:3x 83
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 2770821111870/(1x3)
LCM = 2770821111870/3
LCM = 923607037290
Thus, we can understand that the LCM of 263,735,538,249,107 is 923607037290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 263, 735, 538, 249, 107
1. What is the LCM of 263, 735, 538, 249, 107?
Answer: LCM of 263, 735, 538, 249, 107 is 923607037290.
2. How to calculate the LCM of 263, 735, 538, 249, 107?
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 263, 735, 538, 249, 107.
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}.