LCM of 210, 674, 970, 618, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 674, 970, 618, 615 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 210, 674, 970, 618, 615. So, keep reading to learn more.
Given numbers are 210,674,970,618,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,674,970,618,615 is 28989585870.
Find LCM of 210,674,970,618,615 with Prime Factorization
| 2 | 210, 674, 970, 618, 615 |
| 3 | 105, 337, 485, 309, 615 |
| 5 | 35, 337, 485, 103, 205 |
| 7, 337, 97, 103, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 337 x 97 x 103 x 41 = 28989585870
Therefore, the lowest common multiple of 210,674,970,618,615 is 28989585870.
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.
210 x 674 x 970 x 618 x 615 = 52181254566000
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
674 : 1, 2, 337, 674
970 : 1, 2, 5, 10, 97, 194, 485, 970
618 : 1, 2, 3, 6, 103, 206, 309, 618
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,674,970,618,615, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
674:2x 337
970:2x 5x 97
618:2x 3x 103
615:3x 5x 41
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 3x 3x 5x 5 = 1800
Therefore, the value for common factors is 1800.
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 = 52181254566000/(1x1800)
LCM = 52181254566000/1800
LCM = 28989585870
Thus, we can understand that the LCM of 210,674,970,618,615 is 28989585870.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 210, 674, 970, 618, 615
1. What is the LCM of 210, 674, 970, 618, 615?
Answer: LCM of 210, 674, 970, 618, 615 is 28989585870.
2. How to calculate the LCM of 210, 674, 970, 618, 615?
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 210, 674, 970, 618, 615.
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}.