LCM of 759, 338, 902, 673, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 338, 902, 673, 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 759, 338, 902, 673, 583. So, keep reading to learn more.
Given numbers are 759,338,902,673,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,338,902,673,583 is 375174460518.
Find LCM of 759,338,902,673,583 with Prime Factorization
| 2 | 759, 338, 902, 673, 583 |
| 11 | 759, 169, 451, 673, 583 |
| 69, 169, 41, 673, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 69 x 169 x 41 x 673 x 53 = 375174460518
Therefore, the lowest common multiple of 759,338,902,673,583 is 375174460518.
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.
759 x 338 x 902 x 673 x 583 = 90792219445356
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
338 : 1, 2, 13, 26, 169, 338
902 : 1, 2, 11, 22, 41, 82, 451, 902
673 : 1, 673
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,338,902,673,583, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
338:2x 13x 13
902:2x 11x 41
673:673
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 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 90792219445356/(1x242)
LCM = 90792219445356/242
LCM = 375174460518
Thus, we can understand that the LCM of 759,338,902,673,583 is 375174460518.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 759, 338, 902, 673, 583
1. What is the LCM of 759, 338, 902, 673, 583?
Answer: LCM of 759, 338, 902, 673, 583 is 375174460518.
2. How to calculate the LCM of 759, 338, 902, 673, 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 759, 338, 902, 673, 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}.