LCM of 470, 446, 342, 257, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 446, 342, 257, 988 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 470, 446, 342, 257, 988. So, keep reading to learn more.
Given numbers are 470,446,342,257,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,446,342,257,988 is 119758211820.
Find LCM of 470,446,342,257,988 with Prime Factorization
| 2 | 470, 446, 342, 257, 988 |
| 19 | 235, 223, 171, 257, 494 |
| 235, 223, 9, 257, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 235 x 223 x 9 x 257 x 26 = 119758211820
Therefore, the lowest common multiple of 470,446,342,257,988 is 119758211820.
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.
470 x 446 x 342 x 257 x 988 = 18203248196640
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
446 : 1, 2, 223, 446
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
257 : 1, 257
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,446,342,257,988, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
446:2x 223
342:2x 3x 3x 19
257:257
988:2x 2x 13x 19
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 19 = 152
Therefore, the value for common factors is 152.
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 = 18203248196640/(1x152)
LCM = 18203248196640/152
LCM = 119758211820
Thus, we can understand that the LCM of 470,446,342,257,988 is 119758211820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 470, 446, 342, 257, 988
1. What is the LCM of 470, 446, 342, 257, 988?
Answer: LCM of 470, 446, 342, 257, 988 is 119758211820.
2. How to calculate the LCM of 470, 446, 342, 257, 988?
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 470, 446, 342, 257, 988.
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}.