LCM of 257, 137, 154, 968, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 257, 137, 154, 968, 420 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 257, 137, 154, 968, 420. So, keep reading to learn more.
Given numbers are 257,137,154,968,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 257,137,154,968,420 is 3578642760.
Find LCM of 257,137,154,968,420 with Prime Factorization
| 2 | 257, 137, 154, 968, 420 |
| 2 | 257, 137, 77, 484, 210 |
| 7 | 257, 137, 77, 242, 105 |
| 11 | 257, 137, 11, 242, 15 |
| 257, 137, 1, 22, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 257 x 137 x 1 x 22 x 15 = 3578642760
Therefore, the lowest common multiple of 257,137,154,968,420 is 3578642760.
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.
257 x 137 x 154 x 968 x 420 = 2204443940160
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.
257 : 1, 257
137 : 1, 137
154 : 1, 2, 7, 11, 14, 22, 77, 154
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,137,154,968,420, is 1.
Now, the common factors can be found like this.
257:257
137:137
154:2x 7x 11
968:2x 2x 2x 11x 11
420:2x 2x 3x 5x 7
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 7x 11 = 616
Therefore, the value for common factors is 616.
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 = 2204443940160/(1x616)
LCM = 2204443940160/616
LCM = 3578642760
Thus, we can understand that the LCM of 257,137,154,968,420 is 3578642760.
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FAQs on LCM of 257, 137, 154, 968, 420
1. What is the LCM of 257, 137, 154, 968, 420?
Answer: LCM of 257, 137, 154, 968, 420 is 3578642760.
2. How to calculate the LCM of 257, 137, 154, 968, 420?
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 257, 137, 154, 968, 420.
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}.