Find the LCM of 475, 887, 689, 610, 370 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 475, 887, 689, 610, 370. So, keep reading to learn more.
Given numbers are 475,887,689,610,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 475,887,689,610,370 is 1310382263450.
Find LCM of 475,887,689,610,370 with Prime Factorization
2 | 475, 887, 689, 610, 370 |
5 | 475, 887, 689, 305, 185 |
95, 887, 689, 61, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 95 x 887 x 689 x 61 x 37 = 1310382263450
Therefore, the lowest common multiple of 475,887,689,610,370 is 1310382263450.
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.
475 x 887 x 689 x 610 x 370 = 65519113172500
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.
475 : 1, 5, 19, 25, 95, 475
887 : 1, 887
689 : 1, 13, 53, 689
610 : 1, 2, 5, 10, 61, 122, 305, 610
370 : 1, 2, 5, 10, 37, 74, 185, 370
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,887,689,610,370, is 1.
Now, the common factors can be found like this.
475:5x 5x 19
887:887
689:13x 53
610:2x 5x 61
370:2x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 65519113172500/(1x50)
LCM = 65519113172500/50
LCM = 1310382263450
Thus, we can understand that the LCM of 475,887,689,610,370 is 1310382263450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 475, 887, 689, 610, 370?
Answer: LCM of 475, 887, 689, 610, 370 is 1310382263450.
2. How to calculate the LCM of 475, 887, 689, 610, 370?
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 475, 887, 689, 610, 370.
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}.