LCM of 224, 139, 708, 869, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 224, 139, 708, 869, 413 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 224, 139, 708, 869, 413. So, keep reading to learn more.
Given numbers are 224,139,708,869,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 224,139,708,869,413 is 4789121568.
Find LCM of 224,139,708,869,413 with Prime Factorization
| 2 | 224, 139, 708, 869, 413 |
| 2 | 112, 139, 354, 869, 413 |
| 7 | 56, 139, 177, 869, 413 |
| 59 | 8, 139, 177, 869, 59 |
| 8, 139, 3, 869, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 59 x 8 x 139 x 3 x 869 x 1 = 4789121568
Therefore, the lowest common multiple of 224,139,708,869,413 is 4789121568.
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.
224 x 139 x 708 x 869 x 413 = 7911628830336
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.
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
139 : 1, 139
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
869 : 1, 11, 79, 869
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,139,708,869,413, is 1.
Now, the common factors can be found like this.
224:2x 2x 2x 2x 2x 7
139:139
708:2x 2x 3x 59
869:11x 79
413:7x 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 7x 59 = 1652
Therefore, the value for common factors is 1652.
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 = 7911628830336/(1x1652)
LCM = 7911628830336/1652
LCM = 4789121568
Thus, we can understand that the LCM of 224,139,708,869,413 is 4789121568.
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FAQs on LCM of 224, 139, 708, 869, 413
1. What is the LCM of 224, 139, 708, 869, 413?
Answer: LCM of 224, 139, 708, 869, 413 is 4789121568.
2. How to calculate the LCM of 224, 139, 708, 869, 413?
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 224, 139, 708, 869, 413.
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}.