Find the LCM of 902, 236, 893, 260 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 902, 236, 893, 260. So, keep reading to learn more.
Given numbers are 902,236,893,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,236,893,260 is 6178077620.
Find LCM of 902,236,893,260 with Prime Factorization
2 | 902, 236, 893, 260 |
2 | 451, 118, 893, 130 |
451, 59, 893, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 451 x 59 x 893 x 65 = 6178077620
Therefore, the lowest common multiple of 902,236,893,260 is 6178077620.
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.
902 x 236 x 893 x 260 = 49424620960
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
236 : 1, 2, 4, 59, 118, 236
893 : 1, 19, 47, 893
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,236,893,260, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
236:2x 2x 59
893:19x 47
260:2x 2x 5x 13
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 2 = 8
Therefore, the value for common factors is 8.
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 = 49424620960/(1x8)
LCM = 49424620960/8
LCM = 6178077620
Thus, we can understand that the LCM of 902,236,893,260 is 6178077620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 236, 893, 260?
Answer: LCM of 902, 236, 893, 260 is 6178077620.
2. How to calculate the LCM of 902, 236, 893, 260?
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 902, 236, 893, 260.
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}.