LCM of 277, 989, 692, 760, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 989, 692, 760, 688 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 277, 989, 692, 760, 688. So, keep reading to learn more.
Given numbers are 277,989,692,760,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,989,692,760,688 is 72038680880.
Find LCM of 277,989,692,760,688 with Prime Factorization
| 2 | 277, 989, 692, 760, 688 |
| 2 | 277, 989, 346, 380, 344 |
| 2 | 277, 989, 173, 190, 172 |
| 43 | 277, 989, 173, 95, 86 |
| 277, 23, 173, 95, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 43 x 277 x 23 x 173 x 95 x 2 = 72038680880
Therefore, the lowest common multiple of 277,989,692,760,688 is 72038680880.
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.
277 x 989 x 692 x 760 x 688 = 99125224890880
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.
277 : 1, 277
989 : 1, 23, 43, 989
692 : 1, 2, 4, 173, 346, 692
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,989,692,760,688, is 1.
Now, the common factors can be found like this.
277:277
989:23x 43
692:2x 2x 173
760:2x 2x 2x 5x 19
688:2x 2x 2x 2x 43
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 2x 43 = 1376
Therefore, the value for common factors is 1376.
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 = 99125224890880/(1x1376)
LCM = 99125224890880/1376
LCM = 72038680880
Thus, we can understand that the LCM of 277,989,692,760,688 is 72038680880.
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FAQs on LCM of 277, 989, 692, 760, 688
1. What is the LCM of 277, 989, 692, 760, 688?
Answer: LCM of 277, 989, 692, 760, 688 is 72038680880.
2. How to calculate the LCM of 277, 989, 692, 760, 688?
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 277, 989, 692, 760, 688.
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}.