Find the LCM of 902, 446, 761, 314, 491 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, 446, 761, 314, 491. So, keep reading to learn more.
Given numbers are 902,446,761,314,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,446,761,314,491 is 11799869435222.
Find LCM of 902,446,761,314,491 with Prime Factorization
2 | 902, 446, 761, 314, 491 |
451, 223, 761, 157, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 451 x 223 x 761 x 157 x 491 = 11799869435222
Therefore, the lowest common multiple of 902,446,761,314,491 is 11799869435222.
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 446 x 761 x 314 x 491 = 47199477740888
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
446 : 1, 2, 223, 446
761 : 1, 761
314 : 1, 2, 157, 314
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,446,761,314,491, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
446:2x 223
761:761
314:2x 157
491:491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 47199477740888/(1x4)
LCM = 47199477740888/4
LCM = 11799869435222
Thus, we can understand that the LCM of 902,446,761,314,491 is 11799869435222.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 446, 761, 314, 491?
Answer: LCM of 902, 446, 761, 314, 491 is 11799869435222.
2. How to calculate the LCM of 902, 446, 761, 314, 491?
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, 446, 761, 314, 491.
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}.