Find the LCM of 253, 260, 276, 472, 746 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 253, 260, 276, 472, 746. So, keep reading to learn more.
Given numbers are 253,260,276,472,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,260,276,472,746 is 8685722760.
Find LCM of 253,260,276,472,746 with Prime Factorization
2 | 253, 260, 276, 472, 746 |
2 | 253, 130, 138, 236, 373 |
23 | 253, 65, 69, 118, 373 |
11, 65, 3, 118, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 11 x 65 x 3 x 118 x 373 = 8685722760
Therefore, the lowest common multiple of 253,260,276,472,746 is 8685722760.
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.
253 x 260 x 276 x 472 x 746 = 6392691951360
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.
253 : 1, 11, 23, 253
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
472 : 1, 2, 4, 8, 59, 118, 236, 472
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,260,276,472,746, is 1.
Now, the common factors can be found like this.
253:11x 23
260:2x 2x 5x 13
276:2x 2x 3x 23
472:2x 2x 2x 59
746:2x 373
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 2x 2x 23 = 736
Therefore, the value for common factors is 736.
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 = 6392691951360/(1x736)
LCM = 6392691951360/736
LCM = 8685722760
Thus, we can understand that the LCM of 253,260,276,472,746 is 8685722760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 260, 276, 472, 746?
Answer: LCM of 253, 260, 276, 472, 746 is 8685722760.
2. How to calculate the LCM of 253, 260, 276, 472, 746?
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 253, 260, 276, 472, 746.
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}.