Find the LCM of 189, 969, 202, 473, 478 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 189, 969, 202, 473, 478. So, keep reading to learn more.
Given numbers are 189,969,202,473,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,969,202,473,478 is 1394038402218.
Find LCM of 189,969,202,473,478 with Prime Factorization
2 | 189, 969, 202, 473, 478 |
3 | 189, 969, 101, 473, 239 |
63, 323, 101, 473, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 63 x 323 x 101 x 473 x 239 = 1394038402218
Therefore, the lowest common multiple of 189,969,202,473,478 is 1394038402218.
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.
189 x 969 x 202 x 473 x 478 = 8364230413308
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
969 : 1, 3, 17, 19, 51, 57, 323, 969
202 : 1, 2, 101, 202
473 : 1, 11, 43, 473
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,969,202,473,478, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
969:3x 17x 19
202:2x 101
473:11x 43
478:2x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 8364230413308/(1x6)
LCM = 8364230413308/6
LCM = 1394038402218
Thus, we can understand that the LCM of 189,969,202,473,478 is 1394038402218.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 189, 969, 202, 473, 478?
Answer: LCM of 189, 969, 202, 473, 478 is 1394038402218.
2. How to calculate the LCM of 189, 969, 202, 473, 478?
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 189, 969, 202, 473, 478.
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}.