LCM of 350, 142, 149, 497, 610
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 350, 142, 149, 497, 610 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 350, 142, 149, 497, 610. So, keep reading to learn more.
Given numbers are 350,142,149,497,610
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 350,142,149,497,610 is 225861650.
Find LCM of 350,142,149,497,610 with Prime Factorization
| 2 | 350, 142, 149, 497, 610 |
| 5 | 175, 71, 149, 497, 305 |
| 7 | 35, 71, 149, 497, 61 |
| 71 | 5, 71, 149, 71, 61 |
| 5, 1, 149, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 71 x 5 x 1 x 149 x 1 x 61 = 225861650
Therefore, the lowest common multiple of 350,142,149,497,610 is 225861650.
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.
350 x 142 x 149 x 497 x 610 = 2245064801000
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.
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
142 : 1, 2, 71, 142
149 : 1, 149
497 : 1, 7, 71, 497
610 : 1, 2, 5, 10, 61, 122, 305, 610
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,142,149,497,610, is 1.
Now, the common factors can be found like this.
350:2x 5x 5x 7
142:2x 71
149:149
497:7x 71
610:2x 5x 61
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 5x 7x 71 = 9940
Therefore, the value for common factors is 9940.
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 = 2245064801000/(1x9940)
LCM = 2245064801000/9940
LCM = 225861650
Thus, we can understand that the LCM of 350,142,149,497,610 is 225861650.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 350, 142, 149, 497, 610
1. What is the LCM of 350, 142, 149, 497, 610?
Answer: LCM of 350, 142, 149, 497, 610 is 225861650.
2. How to calculate the LCM of 350, 142, 149, 497, 610?
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 350, 142, 149, 497, 610.
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}.