LCM of 148, 269, 468, 676, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 148, 269, 468, 676, 704 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 148, 269, 468, 676, 704. So, keep reading to learn more.
Given numbers are 148,269,468,676,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,269,468,676,704 is 10657513152.
Find LCM of 148,269,468,676,704 with Prime Factorization
| 2 | 148, 269, 468, 676, 704 |
| 2 | 74, 269, 234, 338, 352 |
| 13 | 37, 269, 117, 169, 176 |
| 37, 269, 9, 13, 176 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 37 x 269 x 9 x 13 x 176 = 10657513152
Therefore, the lowest common multiple of 148,269,468,676,704 is 10657513152.
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.
148 x 269 x 468 x 676 x 704 = 8867050942464
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.
148 : 1, 2, 4, 37, 74, 148
269 : 1, 269
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,269,468,676,704, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
269:269
468:2x 2x 3x 3x 13
676:2x 2x 13x 13
704:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 13 = 832
Therefore, the value for common factors is 832.
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 = 8867050942464/(1x832)
LCM = 8867050942464/832
LCM = 10657513152
Thus, we can understand that the LCM of 148,269,468,676,704 is 10657513152.
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FAQs on LCM of 148, 269, 468, 676, 704
1. What is the LCM of 148, 269, 468, 676, 704?
Answer: LCM of 148, 269, 468, 676, 704 is 10657513152.
2. How to calculate the LCM of 148, 269, 468, 676, 704?
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 148, 269, 468, 676, 704.
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}.