LCM of 735, 420, 692, 517, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 420, 692, 517, 630 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 735, 420, 692, 517, 630. So, keep reading to learn more.
Given numbers are 735,420,692,517,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,420,692,517,630 is 788869620.
Find LCM of 735,420,692,517,630 with Prime Factorization
| 2 | 735, 420, 692, 517, 630 |
| 2 | 735, 210, 346, 517, 315 |
| 3 | 735, 105, 173, 517, 315 |
| 5 | 245, 35, 173, 517, 105 |
| 7 | 49, 7, 173, 517, 21 |
| 1, 7, 173, 517, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 7 x 173 x 517 x 3 = 788869620
Therefore, the lowest common multiple of 735,420,692,517,630 is 788869620.
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.
735 x 420 x 692 x 517 x 630 = 69578300484000
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
692 : 1, 2, 4, 173, 346, 692
517 : 1, 11, 47, 517
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,420,692,517,630, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
420:2x 2x 3x 5x 7
692:2x 2x 173
517:11x 47
630:2x 3x 3x 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 2x 2x 3x 3x 5x 5x 7x 7 = 88200
Therefore, the value for common factors is 88200.
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 = 69578300484000/(1x88200)
LCM = 69578300484000/88200
LCM = 788869620
Thus, we can understand that the LCM of 735,420,692,517,630 is 788869620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 735, 420, 692, 517, 630
1. What is the LCM of 735, 420, 692, 517, 630?
Answer: LCM of 735, 420, 692, 517, 630 is 788869620.
2. How to calculate the LCM of 735, 420, 692, 517, 630?
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 735, 420, 692, 517, 630.
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}.