LCM of 471, 714, 442, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 714, 442, 708 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 471, 714, 442, 708. So, keep reading to learn more.
Given numbers are 471,714,442,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,714,442,708 is 171958332.
Find LCM of 471,714,442,708 with Prime Factorization
| 2 | 471, 714, 442, 708 |
| 3 | 471, 357, 221, 354 |
| 17 | 157, 119, 221, 118 |
| 157, 7, 13, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 157 x 7 x 13 x 118 = 171958332
Therefore, the lowest common multiple of 471,714,442,708 is 171958332.
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.
471 x 714 x 442 x 708 = 105238499184
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.
471 : 1, 3, 157, 471
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
442 : 1, 2, 13, 17, 26, 34, 221, 442
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,714,442,708, is 1.
Now, the common factors can be found like this.
471:3x 157
714:2x 3x 7x 17
442:2x 13x 17
708:2x 2x 3x 59
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 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 105238499184/(1x612)
LCM = 105238499184/612
LCM = 171958332
Thus, we can understand that the LCM of 471,714,442,708 is 171958332.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 714, 442, 708
1. What is the LCM of 471, 714, 442, 708?
Answer: LCM of 471, 714, 442, 708 is 171958332.
2. How to calculate the LCM of 471, 714, 442, 708?
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 471, 714, 442, 708.
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}.