Find the LCM of 770, 125, 740, 838, 572 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, 125, 740, 838, 572. So, keep reading to learn more.
Given numbers are 770,125,740,838,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,125,740,838,572 is 7759251500.
Find LCM of 770,125,740,838,572 with Prime Factorization
2 | 770, 125, 740, 838, 572 |
2 | 385, 125, 370, 419, 286 |
5 | 385, 125, 185, 419, 143 |
11 | 77, 25, 37, 419, 143 |
7, 25, 37, 419, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 7 x 25 x 37 x 419 x 13 = 7759251500
Therefore, the lowest common multiple of 770,125,740,838,572 is 7759251500.
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 125 x 740 x 838 x 572 = 34140706600000
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
125 : 1, 5, 25, 125
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
838 : 1, 2, 419, 838
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,125,740,838,572, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
125:5x 5x 5
740:2x 2x 5x 37
838:2x 419
572:2x 2x 11x 13
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 5x 11 = 4400
Therefore, the value for common factors is 4400.
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 = 34140706600000/(1x4400)
LCM = 34140706600000/4400
LCM = 7759251500
Thus, we can understand that the LCM of 770,125,740,838,572 is 7759251500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 125, 740, 838, 572?
Answer: LCM of 770, 125, 740, 838, 572 is 7759251500.
2. How to calculate the LCM of 770, 125, 740, 838, 572?
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, 125, 740, 838, 572.
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}.