LCM of 146, 446, 541, 470, 890
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 446, 541, 470, 890 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 146, 446, 541, 470, 890. So, keep reading to learn more.
Given numbers are 146,446,541,470,890
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,446,541,470,890 is 368394258370.
Find LCM of 146,446,541,470,890 with Prime Factorization
| 2 | 146, 446, 541, 470, 890 |
| 5 | 73, 223, 541, 235, 445 |
| 73, 223, 541, 47, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 223 x 541 x 47 x 89 = 368394258370
Therefore, the lowest common multiple of 146,446,541,470,890 is 368394258370.
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.
146 x 446 x 541 x 470 x 890 = 14735770334800
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.
146 : 1, 2, 73, 146
446 : 1, 2, 223, 446
541 : 1, 541
470 : 1, 2, 5, 10, 47, 94, 235, 470
890 : 1, 2, 5, 10, 89, 178, 445, 890
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,446,541,470,890, is 1.
Now, the common factors can be found like this.
146:2x 73
446:2x 223
541:541
470:2x 5x 47
890:2x 5x 89
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 5 = 40
Therefore, the value for common factors is 40.
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 = 14735770334800/(1x40)
LCM = 14735770334800/40
LCM = 368394258370
Thus, we can understand that the LCM of 146,446,541,470,890 is 368394258370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 446, 541, 470, 890
1. What is the LCM of 146, 446, 541, 470, 890?
Answer: LCM of 146, 446, 541, 470, 890 is 368394258370.
2. How to calculate the LCM of 146, 446, 541, 470, 890?
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 146, 446, 541, 470, 890.
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}.