LCM of 157, 401, 846, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 401, 846, 802 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 157, 401, 846, 802. So, keep reading to learn more.
Given numbers are 157,401,846,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,401,846,802 is 53261622.
Find LCM of 157,401,846,802 with Prime Factorization
| 2 | 157, 401, 846, 802 |
| 401 | 157, 401, 423, 401 |
| 157, 1, 423, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 401 x 157 x 1 x 423 x 1 = 53261622
Therefore, the lowest common multiple of 157,401,846,802 is 53261622.
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.
157 x 401 x 846 x 802 = 42715820844
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.
157 : 1, 157
401 : 1, 401
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,401,846,802, is 1.
Now, the common factors can be found like this.
157:157
401:401
846:2x 3x 3x 47
802:2x 401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 401 = 802
Therefore, the value for common factors is 802.
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 = 42715820844/(1x802)
LCM = 42715820844/802
LCM = 53261622
Thus, we can understand that the LCM of 157,401,846,802 is 53261622.
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FAQs on LCM of 157, 401, 846, 802
1. What is the LCM of 157, 401, 846, 802?
Answer: LCM of 157, 401, 846, 802 is 53261622.
2. How to calculate the LCM of 157, 401, 846, 802?
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 157, 401, 846, 802.
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}.