LCM of 370, 748, 770, 940, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 370, 748, 770, 940, 814 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 370, 748, 770, 940, 814. So, keep reading to learn more.
Given numbers are 370,748,770,940,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 370,748,770,940,814 is 45527020.
Find LCM of 370,748,770,940,814 with Prime Factorization
| 2 | 370, 748, 770, 940, 814 |
| 2 | 185, 374, 385, 470, 407 |
| 5 | 185, 187, 385, 235, 407 |
| 11 | 37, 187, 77, 47, 407 |
| 37 | 37, 17, 7, 47, 37 |
| 1, 17, 7, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 37 x 1 x 17 x 7 x 47 x 1 = 45527020
Therefore, the lowest common multiple of 370,748,770,940,814 is 45527020.
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.
370 x 748 x 770 x 940 x 814 = 163059574832000
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.
370 : 1, 2, 5, 10, 37, 74, 185, 370
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
814 : 1, 2, 11, 22, 37, 74, 407, 814
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,748,770,940,814, is 2.
Now, the common factors can be found like this.
370:2x 5x 37
748:2x 2x 11x 17
770:2x 5x 7x 11
940:2x 2x 5x 47
814:2x 11x 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 2x 2x 2x 5x 5x 11x 11x 37 = 1790800
Therefore, the value for common factors is 1790800.
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 = 163059574832000/(2x1790800)
LCM = 163059574832000/3581600
LCM = 45527020
Thus, we can understand that the LCM of 370,748,770,940,814 is 45527020.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 370, 748, 770, 940, 814
1. What is the LCM of 370, 748, 770, 940, 814?
Answer: LCM of 370, 748, 770, 940, 814 is 45527020.
2. How to calculate the LCM of 370, 748, 770, 940, 814?
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 370, 748, 770, 940, 814.
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}.