LCM of 677, 435, 667, 506, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 435, 667, 506, 140 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 677, 435, 667, 506, 140. So, keep reading to learn more.
Given numbers are 677,435,667,506,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,435,667,506,140 is 2086202580.
Find LCM of 677,435,667,506,140 with Prime Factorization
| 2 | 677, 435, 667, 506, 140 |
| 5 | 677, 435, 667, 253, 70 |
| 23 | 677, 87, 667, 253, 14 |
| 29 | 677, 87, 29, 11, 14 |
| 677, 3, 1, 11, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 29 x 677 x 3 x 1 x 11 x 14 = 2086202580
Therefore, the lowest common multiple of 677,435,667,506,140 is 2086202580.
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.
677 x 435 x 667 x 506 x 140 = 13914971208600
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.
677 : 1, 677
435 : 1, 3, 5, 15, 29, 87, 145, 435
667 : 1, 23, 29, 667
506 : 1, 2, 11, 22, 23, 46, 253, 506
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,435,667,506,140, is 1.
Now, the common factors can be found like this.
677:677
435:3x 5x 29
667:23x 29
506:2x 11x 23
140:2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23x 29 = 6670
Therefore, the value for common factors is 6670.
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 = 13914971208600/(1x6670)
LCM = 13914971208600/6670
LCM = 2086202580
Thus, we can understand that the LCM of 677,435,667,506,140 is 2086202580.
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FAQs on LCM of 677, 435, 667, 506, 140
1. What is the LCM of 677, 435, 667, 506, 140?
Answer: LCM of 677, 435, 667, 506, 140 is 2086202580.
2. How to calculate the LCM of 677, 435, 667, 506, 140?
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 677, 435, 667, 506, 140.
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}.