LCM of 754, 651, 620, 829, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 651, 620, 829, 558 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 754, 651, 620, 829, 558. So, keep reading to learn more.
Given numbers are 754,651,620,829,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,651,620,829,558 is 12207538980.
Find LCM of 754,651,620,829,558 with Prime Factorization
| 2 | 754, 651, 620, 829, 558 |
| 3 | 377, 651, 310, 829, 279 |
| 31 | 377, 217, 310, 829, 93 |
| 377, 7, 10, 829, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 377 x 7 x 10 x 829 x 3 = 12207538980
Therefore, the lowest common multiple of 754,651,620,829,558 is 12207538980.
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.
754 x 651 x 620 x 829 x 558 = 140777339517360
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
651 : 1, 3, 7, 21, 31, 93, 217, 651
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
829 : 1, 829
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,651,620,829,558, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
651:3x 7x 31
620:2x 2x 5x 31
829:829
558:2x 3x 3x 31
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 3x 31x 31 = 11532
Therefore, the value for common factors is 11532.
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 = 140777339517360/(1x11532)
LCM = 140777339517360/11532
LCM = 12207538980
Thus, we can understand that the LCM of 754,651,620,829,558 is 12207538980.
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FAQs on LCM of 754, 651, 620, 829, 558
1. What is the LCM of 754, 651, 620, 829, 558?
Answer: LCM of 754, 651, 620, 829, 558 is 12207538980.
2. How to calculate the LCM of 754, 651, 620, 829, 558?
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 754, 651, 620, 829, 558.
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}.