Find the LCM of 770, 902, 380, 688, 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, 902, 380, 688, 101. So, keep reading to learn more.
Given numbers are 770,902,380,688,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,902,380,688,101 is 20840493520.
Find LCM of 770,902,380,688,101 with Prime Factorization
2 | 770, 902, 380, 688, 101 |
2 | 385, 451, 190, 344, 101 |
5 | 385, 451, 95, 172, 101 |
11 | 77, 451, 19, 172, 101 |
7, 41, 19, 172, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 7 x 41 x 19 x 172 x 101 = 20840493520
Therefore, the lowest common multiple of 770,902,380,688,101 is 20840493520.
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 902 x 380 x 688 x 101 = 18339634297600
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
902 : 1, 2, 11, 22, 41, 82, 451, 902
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,902,380,688,101, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
902:2x 11x 41
380:2x 2x 5x 19
688:2x 2x 2x 2x 43
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 2x 2x 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 18339634297600/(1x880)
LCM = 18339634297600/880
LCM = 20840493520
Thus, we can understand that the LCM of 770,902,380,688,101 is 20840493520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 902, 380, 688, 101?
Answer: LCM of 770, 902, 380, 688, 101 is 20840493520.
2. How to calculate the LCM of 770, 902, 380, 688, 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, 902, 380, 688, 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}.