Find the LCM of 105, 894, 970, 735, 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 105, 894, 970, 735, 370. So, keep reading to learn more.
Given numbers are 105,894,970,735,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,894,970,735,370 is 786098670.
Find LCM of 105,894,970,735,370 with Prime Factorization
2 | 105, 894, 970, 735, 370 |
3 | 105, 447, 485, 735, 185 |
5 | 35, 149, 485, 245, 185 |
7 | 7, 149, 97, 49, 37 |
1, 149, 97, 7, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 1 x 149 x 97 x 7 x 37 = 786098670
Therefore, the lowest common multiple of 105,894,970,735,370 is 786098670.
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.
105 x 894 x 970 x 735 x 370 = 24762108105000
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
894 : 1, 2, 3, 6, 149, 298, 447, 894
970 : 1, 2, 5, 10, 97, 194, 485, 970
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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 105,894,970,735,370, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
894:2x 3x 149
970:2x 5x 97
735:3x 5x 7x 7
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 3x 3x 5x 5x 5x 7 = 31500
Therefore, the value for common factors is 31500.
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 = 24762108105000/(1x31500)
LCM = 24762108105000/31500
LCM = 786098670
Thus, we can understand that the LCM of 105,894,970,735,370 is 786098670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 894, 970, 735, 370?
Answer: LCM of 105, 894, 970, 735, 370 is 786098670.
2. How to calculate the LCM of 105, 894, 970, 735, 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 105, 894, 970, 735, 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}.