LCM of 476, 946, 748, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 946, 748, 242 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 476, 946, 748, 242. So, keep reading to learn more.
Given numbers are 476,946,748,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,946,748,242 is 2476628.
Find LCM of 476,946,748,242 with Prime Factorization
| 2 | 476, 946, 748, 242 |
| 2 | 238, 473, 374, 121 |
| 11 | 119, 473, 187, 121 |
| 17 | 119, 43, 17, 11 |
| 7, 43, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 7 x 43 x 1 x 11 = 2476628
Therefore, the lowest common multiple of 476,946,748,242 is 2476628.
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.
476 x 946 x 748 x 242 = 81510780736
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
946 : 1, 2, 11, 22, 43, 86, 473, 946
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
242 : 1, 2, 11, 22, 121, 242
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,946,748,242, is 2.
Now, the common factors can be found like this.
476:2x 2x 7x 17
946:2x 11x 43
748:2x 2x 11x 17
242:2x 11x 11
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 11x 11x 17 = 16456
Therefore, the value for common factors is 16456.
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 = 81510780736/(2x16456)
LCM = 81510780736/32912
LCM = 2476628
Thus, we can understand that the LCM of 476,946,748,242 is 2476628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 476, 946, 748, 242
1. What is the LCM of 476, 946, 748, 242?
Answer: LCM of 476, 946, 748, 242 is 2476628.
2. How to calculate the LCM of 476, 946, 748, 242?
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 476, 946, 748, 242.
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}.