LCM of 149, 686, 168, 604, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 149, 686, 168, 604, 735 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 149, 686, 168, 604, 735. So, keep reading to learn more.
Given numbers are 149,686,168,604,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 149,686,168,604,735 is 926058840.
Find LCM of 149,686,168,604,735 with Prime Factorization
| 2 | 149, 686, 168, 604, 735 |
| 2 | 149, 343, 84, 302, 735 |
| 3 | 149, 343, 42, 151, 735 |
| 7 | 149, 343, 14, 151, 245 |
| 7 | 149, 49, 2, 151, 35 |
| 149, 7, 2, 151, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 149 x 7 x 2 x 151 x 5 = 926058840
Therefore, the lowest common multiple of 149,686,168,604,735 is 926058840.
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.
149 x 686 x 168 x 604 x 735 = 7623316370880
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.
149 : 1, 149
686 : 1, 2, 7, 14, 49, 98, 343, 686
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
604 : 1, 2, 4, 151, 302, 604
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,686,168,604,735, is 1.
Now, the common factors can be found like this.
149:149
686:2x 7x 7x 7
168:2x 2x 2x 3x 7
604:2x 2x 151
735:3x 5x 7x 7
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 3x 7x 7x 7 = 8232
Therefore, the value for common factors is 8232.
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 = 7623316370880/(1x8232)
LCM = 7623316370880/8232
LCM = 926058840
Thus, we can understand that the LCM of 149,686,168,604,735 is 926058840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 149, 686, 168, 604, 735
1. What is the LCM of 149, 686, 168, 604, 735?
Answer: LCM of 149, 686, 168, 604, 735 is 926058840.
2. How to calculate the LCM of 149, 686, 168, 604, 735?
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 149, 686, 168, 604, 735.
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}.