Find the LCM of 157, 314, 676, 376, 121 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, 314, 676, 376, 121. So, keep reading to learn more.
Given numbers are 157,314,676,376,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,314,676,376,121 is 1207145368.
Find LCM of 157,314,676,376,121 with Prime Factorization
2 | 157, 314, 676, 376, 121 |
2 | 157, 157, 338, 188, 121 |
157 | 157, 157, 169, 94, 121 |
1, 1, 169, 94, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 157 x 1 x 1 x 169 x 94 x 121 = 1207145368
Therefore, the lowest common multiple of 157,314,676,376,121 is 1207145368.
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 314 x 676 x 376 x 121 = 1516174582208
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
314 : 1, 2, 157, 314
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
376 : 1, 2, 4, 8, 47, 94, 188, 376
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,314,676,376,121, is 1.
Now, the common factors can be found like this.
157:157
314:2x 157
676:2x 2x 13x 13
376:2x 2x 2x 47
121:11x 11
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 157 = 1256
Therefore, the value for common factors is 1256.
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 = 1516174582208/(1x1256)
LCM = 1516174582208/1256
LCM = 1207145368
Thus, we can understand that the LCM of 157,314,676,376,121 is 1207145368.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 157, 314, 676, 376, 121?
Answer: LCM of 157, 314, 676, 376, 121 is 1207145368.
2. How to calculate the LCM of 157, 314, 676, 376, 121?
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, 314, 676, 376, 121.
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}.