LCM of 175, 658, 802, 846, 642
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 175, 658, 802, 846, 642 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 175, 658, 802, 846, 642. So, keep reading to learn more.
Given numbers are 175,658,802,846,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 175,658,802,846,642 is 6352381350.
Find LCM of 175,658,802,846,642 with Prime Factorization
| 2 | 175, 658, 802, 846, 642 |
| 3 | 175, 329, 401, 423, 321 |
| 7 | 175, 329, 401, 141, 107 |
| 47 | 25, 47, 401, 141, 107 |
| 25, 1, 401, 3, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 47 x 25 x 1 x 401 x 3 x 107 = 6352381350
Therefore, the lowest common multiple of 175,658,802,846,642 is 6352381350.
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.
175 x 658 x 802 x 846 x 642 = 50158403139600
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.
175 : 1, 5, 7, 25, 35, 175
658 : 1, 2, 7, 14, 47, 94, 329, 658
802 : 1, 2, 401, 802
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 175,658,802,846,642, is 1.
Now, the common factors can be found like this.
175:5x 5x 7
658:2x 7x 47
802:2x 401
846:2x 3x 3x 47
642:2x 3x 107
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 47 = 7896
Therefore, the value for common factors is 7896.
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 = 50158403139600/(1x7896)
LCM = 50158403139600/7896
LCM = 6352381350
Thus, we can understand that the LCM of 175,658,802,846,642 is 6352381350.
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FAQs on LCM of 175, 658, 802, 846, 642
1. What is the LCM of 175, 658, 802, 846, 642?
Answer: LCM of 175, 658, 802, 846, 642 is 6352381350.
2. How to calculate the LCM of 175, 658, 802, 846, 642?
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 175, 658, 802, 846, 642.
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}.