LCM of 136, 374, 667, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 136, 374, 667, 456 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 136, 374, 667, 456. So, keep reading to learn more.
Given numbers are 136,374,667,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,374,667,456 is 56876424.
Find LCM of 136,374,667,456 with Prime Factorization
| 2 | 136, 374, 667, 456 |
| 2 | 68, 187, 667, 228 |
| 2 | 34, 187, 667, 114 |
| 17 | 17, 187, 667, 57 |
| 1, 11, 667, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 1 x 11 x 667 x 57 = 56876424
Therefore, the lowest common multiple of 136,374,667,456 is 56876424.
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.
136 x 374 x 667 x 456 = 15470387328
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
374 : 1, 2, 11, 17, 22, 34, 187, 374
667 : 1, 23, 29, 667
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,374,667,456, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
374:2x 11x 17
667:23x 29
456:2x 2x 2x 3x 19
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 17 = 272
Therefore, the value for common factors is 272.
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 = 15470387328/(1x272)
LCM = 15470387328/272
LCM = 56876424
Thus, we can understand that the LCM of 136,374,667,456 is 56876424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 136, 374, 667, 456
1. What is the LCM of 136, 374, 667, 456?
Answer: LCM of 136, 374, 667, 456 is 56876424.
2. How to calculate the LCM of 136, 374, 667, 456?
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 136, 374, 667, 456.
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}.