LCM of 770, 288, 987, 685, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 288, 987, 685, 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 770, 288, 987, 685, 688. So, keep reading to learn more.
Given numbers are 770,288,987,685,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,288,987,685,688 is 30700121760.
Find LCM of 770,288,987,685,688 with Prime Factorization
| 2 | 770, 288, 987, 685, 688 |
| 2 | 385, 144, 987, 685, 344 |
| 2 | 385, 72, 987, 685, 172 |
| 2 | 385, 36, 987, 685, 86 |
| 3 | 385, 18, 987, 685, 43 |
| 5 | 385, 6, 329, 685, 43 |
| 7 | 77, 6, 329, 137, 43 |
| 11, 6, 47, 137, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 6 x 47 x 137 x 43 = 30700121760
Therefore, the lowest common multiple of 770,288,987,685,688 is 30700121760.
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.
770 x 288 x 987 x 685 x 688 = 103152409113600
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
987 : 1, 3, 7, 21, 47, 141, 329, 987
685 : 1, 5, 137, 685
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 770,288,987,685,688, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
288:2x 2x 2x 2x 2x 3x 3
987:3x 7x 47
685:5x 137
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 3x 5x 7 = 3360
Therefore, the value for common factors is 3360.
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 = 103152409113600/(1x3360)
LCM = 103152409113600/3360
LCM = 30700121760
Thus, we can understand that the LCM of 770,288,987,685,688 is 30700121760.
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FAQs on LCM of 770, 288, 987, 685, 688
1. What is the LCM of 770, 288, 987, 685, 688?
Answer: LCM of 770, 288, 987, 685, 688 is 30700121760.
2. How to calculate the LCM of 770, 288, 987, 685, 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 770, 288, 987, 685, 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}.