Find the LCM of 902, 407, 141, 653 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, 407, 141, 653. So, keep reading to learn more.
Given numbers are 902,407,141,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,407,141,653 is 3072844302.
Find LCM of 902,407,141,653 with Prime Factorization
11 | 902, 407, 141, 653 |
82, 37, 141, 653 |
Multiply the prime numbers at the bottom and the left side.
11 x 82 x 37 x 141 x 653 = 3072844302
Therefore, the lowest common multiple of 902,407,141,653 is 3072844302.
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 407 x 141 x 653 = 33801287322
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
407 : 1, 11, 37, 407
141 : 1, 3, 47, 141
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,407,141,653, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
407:11x 37
141:3x 47
653:653
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 33801287322/(1x11)
LCM = 33801287322/11
LCM = 3072844302
Thus, we can understand that the LCM of 902,407,141,653 is 3072844302.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 407, 141, 653?
Answer: LCM of 902, 407, 141, 653 is 3072844302.
2. How to calculate the LCM of 902, 407, 141, 653?
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, 407, 141, 653.
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}.