LCM of 948, 473, 473, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 473, 473, 146 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 948, 473, 473, 146. So, keep reading to learn more.
Given numbers are 948,473,473,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,473,473,146 is 32733492.
Find LCM of 948,473,473,146 with Prime Factorization
| 2 | 948, 473, 473, 146 |
| 11 | 474, 473, 473, 73 |
| 43 | 474, 43, 43, 73 |
| 474, 1, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 474 x 1 x 1 x 73 = 32733492
Therefore, the lowest common multiple of 948,473,473,146 is 32733492.
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.
948 x 473 x 473 x 146 = 30965883432
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
473 : 1, 11, 43, 473
473 : 1, 11, 43, 473
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,473,473,146, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
473:11x 43
473:11x 43
146:2x 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 11x 43 = 946
Therefore, the value for common factors is 946.
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 = 30965883432/(1x946)
LCM = 30965883432/946
LCM = 32733492
Thus, we can understand that the LCM of 948,473,473,146 is 32733492.
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FAQs on LCM of 948, 473, 473, 146
1. What is the LCM of 948, 473, 473, 146?
Answer: LCM of 948, 473, 473, 146 is 32733492.
2. How to calculate the LCM of 948, 473, 473, 146?
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 948, 473, 473, 146.
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}.