LCM of 972, 187, 242, 578, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 187, 242, 578, 617 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 972, 187, 242, 578, 617. So, keep reading to learn more.
Given numbers are 972,187,242,578,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,187,242,578,617 is 20971748556.
Find LCM of 972,187,242,578,617 with Prime Factorization
| 2 | 972, 187, 242, 578, 617 |
| 11 | 486, 187, 121, 289, 617 |
| 17 | 486, 17, 11, 289, 617 |
| 486, 1, 11, 17, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 486 x 1 x 11 x 17 x 617 = 20971748556
Therefore, the lowest common multiple of 972,187,242,578,617 is 20971748556.
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.
972 x 187 x 242 x 578 x 617 = 15686867919888
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
187 : 1, 11, 17, 187
242 : 1, 2, 11, 22, 121, 242
578 : 1, 2, 17, 34, 289, 578
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,187,242,578,617, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
187:11x 17
242:2x 11x 11
578:2x 17x 17
617:617
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 17 = 748
Therefore, the value for common factors is 748.
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 = 15686867919888/(1x748)
LCM = 15686867919888/748
LCM = 20971748556
Thus, we can understand that the LCM of 972,187,242,578,617 is 20971748556.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 972, 187, 242, 578, 617
1. What is the LCM of 972, 187, 242, 578, 617?
Answer: LCM of 972, 187, 242, 578, 617 is 20971748556.
2. How to calculate the LCM of 972, 187, 242, 578, 617?
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 972, 187, 242, 578, 617.
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}.