LCM of 370, 278, 365, 370
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 370, 278, 365, 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 370, 278, 365, 370. So, keep reading to learn more.
Given numbers are 370,278,365,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 370,278,365,370 is 3754390.
Find LCM of 370,278,365,370 with Prime Factorization
| 2 | 370, 278, 365, 370 |
| 5 | 185, 139, 365, 185 |
| 37 | 37, 139, 73, 37 |
| 1, 139, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 37 x 1 x 139 x 73 x 1 = 3754390
Therefore, the lowest common multiple of 370,278,365,370 is 3754390.
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 278 x 365 x 370 = 13891243000
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
278 : 1, 2, 139, 278
365 : 1, 5, 73, 365
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 370,278,365,370, is 1.
Now, the common factors can be found like this.
370:2x 5x 37
278:2x 139
365:5x 73
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 2x 5x 5x 37 = 3700
Therefore, the value for common factors is 3700.
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 = 13891243000/(1x3700)
LCM = 13891243000/3700
LCM = 3754390
Thus, we can understand that the LCM of 370,278,365,370 is 3754390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 370, 278, 365, 370
1. What is the LCM of 370, 278, 365, 370?
Answer: LCM of 370, 278, 365, 370 is 3754390.
2. How to calculate the LCM of 370, 278, 365, 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 370, 278, 365, 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}.