LCM of 278, 678, 686, 724, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 678, 686, 724, 987 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 278, 678, 686, 724, 987. So, keep reading to learn more.
Given numbers are 278,678,686,724,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,678,686,724,987 is 549977652084.
Find LCM of 278,678,686,724,987 with Prime Factorization
| 2 | 278, 678, 686, 724, 987 |
| 3 | 139, 339, 343, 362, 987 |
| 7 | 139, 113, 343, 362, 329 |
| 139, 113, 49, 362, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 139 x 113 x 49 x 362 x 47 = 549977652084
Therefore, the lowest common multiple of 278,678,686,724,987 is 549977652084.
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.
278 x 678 x 686 x 724 x 987 = 92396245550112
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.
278 : 1, 2, 139, 278
678 : 1, 2, 3, 6, 113, 226, 339, 678
686 : 1, 2, 7, 14, 49, 98, 343, 686
724 : 1, 2, 4, 181, 362, 724
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,678,686,724,987, is 1.
Now, the common factors can be found like this.
278:2x 139
678:2x 3x 113
686:2x 7x 7x 7
724:2x 2x 181
987:3x 7x 47
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 7 = 168
Therefore, the value for common factors is 168.
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 = 92396245550112/(1x168)
LCM = 92396245550112/168
LCM = 549977652084
Thus, we can understand that the LCM of 278,678,686,724,987 is 549977652084.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 278, 678, 686, 724, 987
1. What is the LCM of 278, 678, 686, 724, 987?
Answer: LCM of 278, 678, 686, 724, 987 is 549977652084.
2. How to calculate the LCM of 278, 678, 686, 724, 987?
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 278, 678, 686, 724, 987.
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}.