Find the LCM of 962, 372, 702, 281, 894 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 962, 372, 702, 281, 894. So, keep reading to learn more.
Given numbers are 962,372,702,281,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,372,702,281,894 is 67425335172.
Find LCM of 962,372,702,281,894 with Prime Factorization
2 | 962, 372, 702, 281, 894 |
3 | 481, 186, 351, 281, 447 |
13 | 481, 62, 117, 281, 149 |
37, 62, 9, 281, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 37 x 62 x 9 x 281 x 149 = 67425335172
Therefore, the lowest common multiple of 962,372,702,281,894 is 67425335172.
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.
962 x 372 x 702 x 281 x 894 = 63110113720992
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
281 : 1, 281
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,372,702,281,894, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
372:2x 2x 3x 31
702:2x 3x 3x 3x 13
281:281
894:2x 3x 149
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 3x 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 63110113720992/(1x936)
LCM = 63110113720992/936
LCM = 67425335172
Thus, we can understand that the LCM of 962,372,702,281,894 is 67425335172.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 962, 372, 702, 281, 894?
Answer: LCM of 962, 372, 702, 281, 894 is 67425335172.
2. How to calculate the LCM of 962, 372, 702, 281, 894?
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 962, 372, 702, 281, 894.
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}.