LCM of 654, 942, 507, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 942, 507, 689 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 654, 942, 507, 689. So, keep reading to learn more.
Given numbers are 654,942,507,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,942,507,689 is 919686846.
Find LCM of 654,942,507,689 with Prime Factorization
| 2 | 654, 942, 507, 689 |
| 3 | 327, 471, 507, 689 |
| 13 | 109, 157, 169, 689 |
| 109, 157, 13, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 109 x 157 x 13 x 53 = 919686846
Therefore, the lowest common multiple of 654,942,507,689 is 919686846.
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.
654 x 942 x 507 x 689 = 215206721964
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
942 : 1, 2, 3, 6, 157, 314, 471, 942
507 : 1, 3, 13, 39, 169, 507
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,942,507,689, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
942:2x 3x 157
507:3x 13x 13
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 215206721964/(1x234)
LCM = 215206721964/234
LCM = 919686846
Thus, we can understand that the LCM of 654,942,507,689 is 919686846.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 654, 942, 507, 689
1. What is the LCM of 654, 942, 507, 689?
Answer: LCM of 654, 942, 507, 689 is 919686846.
2. How to calculate the LCM of 654, 942, 507, 689?
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 654, 942, 507, 689.
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}.