LCM of 770, 630, 867, 560, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 630, 867, 560, 101 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, 630, 867, 560, 101. So, keep reading to learn more.
Given numbers are 770,630,867,560,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,630,867,560,101 is 1618238160.
Find LCM of 770,630,867,560,101 with Prime Factorization
| 2 | 770, 630, 867, 560, 101 |
| 3 | 385, 315, 867, 280, 101 |
| 5 | 385, 105, 289, 280, 101 |
| 7 | 77, 21, 289, 56, 101 |
| 11, 3, 289, 8, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 3 x 289 x 8 x 101 = 1618238160
Therefore, the lowest common multiple of 770,630,867,560,101 is 1618238160.
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 630 x 867 x 560 x 101 = 23788100952000
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
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
867 : 1, 3, 17, 51, 289, 867
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,630,867,560,101, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
630:2x 3x 3x 5x 7
867:3x 17x 17
560:2x 2x 2x 2x 5x 7
101:101
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 3x 5x 5x 7x 7 = 14700
Therefore, the value for common factors is 14700.
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 = 23788100952000/(1x14700)
LCM = 23788100952000/14700
LCM = 1618238160
Thus, we can understand that the LCM of 770,630,867,560,101 is 1618238160.
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FAQs on LCM of 770, 630, 867, 560, 101
1. What is the LCM of 770, 630, 867, 560, 101?
Answer: LCM of 770, 630, 867, 560, 101 is 1618238160.
2. How to calculate the LCM of 770, 630, 867, 560, 101?
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, 630, 867, 560, 101.
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}.