LCM of 760, 618, 221, 676, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 618, 221, 676, 306 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 760, 618, 221, 676, 306. So, keep reading to learn more.
Given numbers are 760,618,221,676,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,618,221,676,306 is 2024085960.
Find LCM of 760,618,221,676,306 with Prime Factorization
| 2 | 760, 618, 221, 676, 306 |
| 2 | 380, 309, 221, 338, 153 |
| 3 | 190, 309, 221, 169, 153 |
| 13 | 190, 103, 221, 169, 51 |
| 17 | 190, 103, 17, 13, 51 |
| 190, 103, 1, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 190 x 103 x 1 x 13 x 3 = 2024085960
Therefore, the lowest common multiple of 760,618,221,676,306 is 2024085960.
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.
760 x 618 x 221 x 676 x 306 = 21471503863680
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
618 : 1, 2, 3, 6, 103, 206, 309, 618
221 : 1, 13, 17, 221
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,618,221,676,306, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
618:2x 3x 103
221:13x 17
676:2x 2x 13x 13
306:2x 3x 3x 17
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 2x 3x 13x 17 = 10608
Therefore, the value for common factors is 10608.
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 = 21471503863680/(1x10608)
LCM = 21471503863680/10608
LCM = 2024085960
Thus, we can understand that the LCM of 760,618,221,676,306 is 2024085960.
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FAQs on LCM of 760, 618, 221, 676, 306
1. What is the LCM of 760, 618, 221, 676, 306?
Answer: LCM of 760, 618, 221, 676, 306 is 2024085960.
2. How to calculate the LCM of 760, 618, 221, 676, 306?
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 760, 618, 221, 676, 306.
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}.