Find the LCM of 682, 492, 478, 868, 152 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 682, 492, 478, 868, 152. So, keep reading to learn more.
Given numbers are 682,492,478,868,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,492,478,868,152 is 10665937128.
Find LCM of 682,492,478,868,152 with Prime Factorization
2 | 682, 492, 478, 868, 152 |
2 | 341, 246, 239, 434, 76 |
31 | 341, 123, 239, 217, 38 |
11, 123, 239, 7, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 11 x 123 x 239 x 7 x 38 = 10665937128
Therefore, the lowest common multiple of 682,492,478,868,152 is 10665937128.
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.
682 x 492 x 478 x 868 x 152 = 21161219261952
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
478 : 1, 2, 239, 478
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
152 : 1, 2, 4, 8, 19, 38, 76, 152
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,492,478,868,152, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
492:2x 2x 3x 41
478:2x 239
868:2x 2x 7x 31
152:2x 2x 2x 19
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 31 = 992
Therefore, the value for common factors is 992.
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 = 21161219261952/(2x992)
LCM = 21161219261952/1984
LCM = 10665937128
Thus, we can understand that the LCM of 682,492,478,868,152 is 10665937128.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 492, 478, 868, 152?
Answer: LCM of 682, 492, 478, 868, 152 is 10665937128.
2. How to calculate the LCM of 682, 492, 478, 868, 152?
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 682, 492, 478, 868, 152.
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}.