LCM of 754, 265, 220, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 265, 220, 583 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, 265, 220, 583. So, keep reading to learn more.
Given numbers are 754,265,220,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,265,220,583 is 4395820.
Find LCM of 754,265,220,583 with Prime Factorization
| 2 | 754, 265, 220, 583 |
| 5 | 377, 265, 110, 583 |
| 11 | 377, 53, 22, 583 |
| 53 | 377, 53, 2, 53 |
| 377, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 53 x 377 x 1 x 2 x 1 = 4395820
Therefore, the lowest common multiple of 754,265,220,583 is 4395820.
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 265 x 220 x 583 = 25627630600
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
265 : 1, 5, 53, 265
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,265,220,583, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
265:5x 53
220:2x 2x 5x 11
583:11x 53
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 11x 53 = 5830
Therefore, the value for common factors is 5830.
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 = 25627630600/(1x5830)
LCM = 25627630600/5830
LCM = 4395820
Thus, we can understand that the LCM of 754,265,220,583 is 4395820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 754, 265, 220, 583
1. What is the LCM of 754, 265, 220, 583?
Answer: LCM of 754, 265, 220, 583 is 4395820.
2. How to calculate the LCM of 754, 265, 220, 583?
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, 265, 220, 583.
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}.