LCM of 607, 936, 491, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 936, 491, 348 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 607, 936, 491, 348. So, keep reading to learn more.
Given numbers are 607,936,491,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,936,491,348 is 8089916328.
Find LCM of 607,936,491,348 with Prime Factorization
| 2 | 607, 936, 491, 348 |
| 2 | 607, 468, 491, 174 |
| 3 | 607, 234, 491, 87 |
| 607, 78, 491, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 607 x 78 x 491 x 29 = 8089916328
Therefore, the lowest common multiple of 607,936,491,348 is 8089916328.
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.
607 x 936 x 491 x 348 = 97078995936
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.
607 : 1, 607
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
491 : 1, 491
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,936,491,348, is 1.
Now, the common factors can be found like this.
607:607
936:2x 2x 2x 3x 3x 13
491:491
348:2x 2x 3x 29
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 3 = 12
Therefore, the value for common factors is 12.
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 = 97078995936/(1x12)
LCM = 97078995936/12
LCM = 8089916328
Thus, we can understand that the LCM of 607,936,491,348 is 8089916328.
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FAQs on LCM of 607, 936, 491, 348
1. What is the LCM of 607, 936, 491, 348?
Answer: LCM of 607, 936, 491, 348 is 8089916328.
2. How to calculate the LCM of 607, 936, 491, 348?
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 607, 936, 491, 348.
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}.