LCM of 312, 554, 506, 979, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 554, 506, 979, 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 312, 554, 506, 979, 689. So, keep reading to learn more.
Given numbers are 312,554,506,979,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,554,506,979,689 is 103138488024.
Find LCM of 312,554,506,979,689 with Prime Factorization
| 2 | 312, 554, 506, 979, 689 |
| 11 | 156, 277, 253, 979, 689 |
| 13 | 156, 277, 23, 89, 689 |
| 12, 277, 23, 89, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 12 x 277 x 23 x 89 x 53 = 103138488024
Therefore, the lowest common multiple of 312,554,506,979,689 is 103138488024.
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.
312 x 554 x 506 x 979 x 689 = 58995215149728
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
554 : 1, 2, 277, 554
506 : 1, 2, 11, 22, 23, 46, 253, 506
979 : 1, 11, 89, 979
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,554,506,979,689, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
554:2x 277
506:2x 11x 23
979:11x 89
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 2x 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 58995215149728/(1x572)
LCM = 58995215149728/572
LCM = 103138488024
Thus, we can understand that the LCM of 312,554,506,979,689 is 103138488024.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 312, 554, 506, 979, 689
1. What is the LCM of 312, 554, 506, 979, 689?
Answer: LCM of 312, 554, 506, 979, 689 is 103138488024.
2. How to calculate the LCM of 312, 554, 506, 979, 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 312, 554, 506, 979, 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}.