Find the LCM of 630, 841, 348, 876 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 630, 841, 348, 876. So, keep reading to learn more.
Given numbers are 630,841,348,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,841,348,876 is 77355180.
Find LCM of 630,841,348,876 with Prime Factorization
2 | 630, 841, 348, 876 |
2 | 315, 841, 174, 438 |
3 | 315, 841, 87, 219 |
29 | 105, 841, 29, 73 |
105, 1, 29, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 105 x 1 x 29 x 73 = 77355180
Therefore, the lowest common multiple of 630,841,348,876 is 77355180.
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.
630 x 841 x 348 x 876 = 161517615840
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
841 : 1, 29, 841
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,841,348,876, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
841:29x 29
348:2x 2x 3x 29
876:2x 2x 3x 73
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 29 = 2088
Therefore, the value for common factors is 2088.
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 = 161517615840/(1x2088)
LCM = 161517615840/2088
LCM = 77355180
Thus, we can understand that the LCM of 630,841,348,876 is 77355180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 841, 348, 876?
Answer: LCM of 630, 841, 348, 876 is 77355180.
2. How to calculate the LCM of 630, 841, 348, 876?
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 630, 841, 348, 876.
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}.