LCM of 359, 544, 848, 689, 655
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 544, 848, 689, 655 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 359, 544, 848, 689, 655. So, keep reading to learn more.
Given numbers are 359,544,848,689,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,544,848,689,655 is 88136108320.
Find LCM of 359,544,848,689,655 with Prime Factorization
| 2 | 359, 544, 848, 689, 655 |
| 2 | 359, 272, 424, 689, 655 |
| 2 | 359, 136, 212, 689, 655 |
| 2 | 359, 68, 106, 689, 655 |
| 53 | 359, 34, 53, 689, 655 |
| 359, 34, 1, 13, 655 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 53 x 359 x 34 x 1 x 13 x 655 = 88136108320
Therefore, the lowest common multiple of 359,544,848,689,655 is 88136108320.
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.
359 x 544 x 848 x 689 x 655 = 74739419855360
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.
359 : 1, 359
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
689 : 1, 13, 53, 689
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,544,848,689,655, is 1.
Now, the common factors can be found like this.
359:359
544:2x 2x 2x 2x 2x 17
848:2x 2x 2x 2x 53
689:13x 53
655:5x 131
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 53 = 848
Therefore, the value for common factors is 848.
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 = 74739419855360/(1x848)
LCM = 74739419855360/848
LCM = 88136108320
Thus, we can understand that the LCM of 359,544,848,689,655 is 88136108320.
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FAQs on LCM of 359, 544, 848, 689, 655
1. What is the LCM of 359, 544, 848, 689, 655?
Answer: LCM of 359, 544, 848, 689, 655 is 88136108320.
2. How to calculate the LCM of 359, 544, 848, 689, 655?
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 359, 544, 848, 689, 655.
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}.