LCM of 708, 201, 460, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 201, 460, 109 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 708, 201, 460, 109. So, keep reading to learn more.
Given numbers are 708,201,460,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,201,460,109 is 594610260.
Find LCM of 708,201,460,109 with Prime Factorization
| 2 | 708, 201, 460, 109 |
| 2 | 354, 201, 230, 109 |
| 3 | 177, 201, 115, 109 |
| 59, 67, 115, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 67 x 115 x 109 = 594610260
Therefore, the lowest common multiple of 708,201,460,109 is 594610260.
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.
708 x 201 x 460 x 109 = 7135323120
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
201 : 1, 3, 67, 201
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,201,460,109, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
201:3x 67
460:2x 2x 5x 23
109:109
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 3 = 12
Therefore, the value for common factors is 12.
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 = 7135323120/(1x12)
LCM = 7135323120/12
LCM = 594610260
Thus, we can understand that the LCM of 708,201,460,109 is 594610260.
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FAQs on LCM of 708, 201, 460, 109
1. What is the LCM of 708, 201, 460, 109?
Answer: LCM of 708, 201, 460, 109 is 594610260.
2. How to calculate the LCM of 708, 201, 460, 109?
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 708, 201, 460, 109.
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}.