LCM of 354, 708, 610, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 708, 610, 538 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 354, 708, 610, 538. So, keep reading to learn more.
Given numbers are 354,708,610,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,708,610,538 is 58087860.
Find LCM of 354,708,610,538 with Prime Factorization
| 2 | 354, 708, 610, 538 |
| 3 | 177, 354, 305, 269 |
| 59 | 59, 118, 305, 269 |
| 1, 2, 305, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 1 x 2 x 305 x 269 = 58087860
Therefore, the lowest common multiple of 354,708,610,538 is 58087860.
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.
354 x 708 x 610 x 538 = 82252409760
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
610 : 1, 2, 5, 10, 61, 122, 305, 610
538 : 1, 2, 269, 538
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,708,610,538, is 2.
Now, the common factors can be found like this.
354:2x 3x 59
708:2x 2x 3x 59
610:2x 5x 61
538:2x 269
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 3x 59 = 708
Therefore, the value for common factors is 708.
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 = 82252409760/(2x708)
LCM = 82252409760/1416
LCM = 58087860
Thus, we can understand that the LCM of 354,708,610,538 is 58087860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 354, 708, 610, 538
1. What is the LCM of 354, 708, 610, 538?
Answer: LCM of 354, 708, 610, 538 is 58087860.
2. How to calculate the LCM of 354, 708, 610, 538?
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 354, 708, 610, 538.
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}.