LCM of 987, 714, 867, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 714, 867, 535 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 987, 714, 867, 535. So, keep reading to learn more.
Given numbers are 987,714,867,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,714,867,535 is 305210010.
Find LCM of 987,714,867,535 with Prime Factorization
| 3 | 987, 714, 867, 535 |
| 7 | 329, 238, 289, 535 |
| 17 | 47, 34, 289, 535 |
| 47, 2, 17, 535 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 47 x 2 x 17 x 535 = 305210010
Therefore, the lowest common multiple of 987,714,867,535 is 305210010.
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.
987 x 714 x 867 x 535 = 326879920710
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
867 : 1, 3, 17, 51, 289, 867
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,714,867,535, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
714:2x 3x 7x 17
867:3x 17x 17
535:5x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 17 = 1071
Therefore, the value for common factors is 1071.
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 = 326879920710/(1x1071)
LCM = 326879920710/1071
LCM = 305210010
Thus, we can understand that the LCM of 987,714,867,535 is 305210010.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 987, 714, 867, 535
1. What is the LCM of 987, 714, 867, 535?
Answer: LCM of 987, 714, 867, 535 is 305210010.
2. How to calculate the LCM of 987, 714, 867, 535?
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 987, 714, 867, 535.
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}.