LCM of 676, 231, 159, 528, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 231, 159, 528, 421 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 676, 231, 159, 528, 421. So, keep reading to learn more.
Given numbers are 676,231,159,528,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,231,159,528,421 is 13937235312.
Find LCM of 676,231,159,528,421 with Prime Factorization
| 2 | 676, 231, 159, 528, 421 |
| 2 | 338, 231, 159, 264, 421 |
| 3 | 169, 231, 159, 132, 421 |
| 11 | 169, 77, 53, 44, 421 |
| 169, 7, 53, 4, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 169 x 7 x 53 x 4 x 421 = 13937235312
Therefore, the lowest common multiple of 676,231,159,528,421 is 13937235312.
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.
676 x 231 x 159 x 528 x 421 = 5519145183552
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
231 : 1, 3, 7, 11, 21, 33, 77, 231
159 : 1, 3, 53, 159
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,231,159,528,421, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
231:3x 7x 11
159:3x 53
528:2x 2x 2x 2x 3x 11
421:421
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 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 5519145183552/(1x396)
LCM = 5519145183552/396
LCM = 13937235312
Thus, we can understand that the LCM of 676,231,159,528,421 is 13937235312.
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FAQs on LCM of 676, 231, 159, 528, 421
1. What is the LCM of 676, 231, 159, 528, 421?
Answer: LCM of 676, 231, 159, 528, 421 is 13937235312.
2. How to calculate the LCM of 676, 231, 159, 528, 421?
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 676, 231, 159, 528, 421.
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}.