Find the LCM of 370, 510, 431, 851, 894 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, 510, 431, 851, 894. So, keep reading to learn more.
Given numbers are 370,510,431,851,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 370,510,431,851,894 is 27871688190.
Find LCM of 370,510,431,851,894 with Prime Factorization
2 | 370, 510, 431, 851, 894 |
3 | 185, 255, 431, 851, 447 |
5 | 185, 85, 431, 851, 149 |
37 | 37, 17, 431, 851, 149 |
1, 17, 431, 23, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 37 x 1 x 17 x 431 x 23 x 149 = 27871688190
Therefore, the lowest common multiple of 370,510,431,851,894 is 27871688190.
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 510 x 431 x 851 x 894 = 61875147781800
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
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
431 : 1, 431
851 : 1, 23, 37, 851
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,510,431,851,894, is 1.
Now, the common factors can be found like this.
370:2x 5x 37
510:2x 3x 5x 17
431:431
851:23x 37
894:2x 3x 149
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 3x 5x 37 = 2220
Therefore, the value for common factors is 2220.
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 = 61875147781800/(1x2220)
LCM = 61875147781800/2220
LCM = 27871688190
Thus, we can understand that the LCM of 370,510,431,851,894 is 27871688190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 370, 510, 431, 851, 894?
Answer: LCM of 370, 510, 431, 851, 894 is 27871688190.
2. How to calculate the LCM of 370, 510, 431, 851, 894?
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, 510, 431, 851, 894.
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}.