LCM of 157, 345, 506, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 345, 506, 101 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, 345, 506, 101. So, keep reading to learn more.
Given numbers are 157,345,506,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,345,506,101 is 120354630.
Find LCM of 157,345,506,101 with Prime Factorization
| 23 | 157, 345, 506, 101 |
| 157, 15, 22, 101 |
Multiply the prime numbers at the bottom and the left side.
23 x 157 x 15 x 22 x 101 = 120354630
Therefore, the lowest common multiple of 157,345,506,101 is 120354630.
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 345 x 506 x 101 = 2768156490
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
345 : 1, 3, 5, 15, 23, 69, 115, 345
506 : 1, 2, 11, 22, 23, 46, 253, 506
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,345,506,101, is 1.
Now, the common factors can be found like this.
157:157
345:3x 5x 23
506:2x 11x 23
101:101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 2768156490/(1x23)
LCM = 2768156490/23
LCM = 120354630
Thus, we can understand that the LCM of 157,345,506,101 is 120354630.
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FAQs on LCM of 157, 345, 506, 101
1. What is the LCM of 157, 345, 506, 101?
Answer: LCM of 157, 345, 506, 101 is 120354630.
2. How to calculate the LCM of 157, 345, 506, 101?
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, 345, 506, 101.
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}.