LCM of 754, 980, 221, 731
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 980, 221, 731 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, 980, 221, 731. So, keep reading to learn more.
Given numbers are 754,980,221,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,980,221,731 is 270075260.
Find LCM of 754,980,221,731 with Prime Factorization
| 2 | 754, 980, 221, 731 |
| 13 | 377, 490, 221, 731 |
| 17 | 29, 490, 17, 731 |
| 29, 490, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 29 x 490 x 1 x 43 = 270075260
Therefore, the lowest common multiple of 754,980,221,731 is 270075260.
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 980 x 221 x 731 = 119373264920
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
221 : 1, 13, 17, 221
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,980,221,731, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
980:2x 2x 5x 7x 7
221:13x 17
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 119373264920/(1x442)
LCM = 119373264920/442
LCM = 270075260
Thus, we can understand that the LCM of 754,980,221,731 is 270075260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 754, 980, 221, 731
1. What is the LCM of 754, 980, 221, 731?
Answer: LCM of 754, 980, 221, 731 is 270075260.
2. How to calculate the LCM of 754, 980, 221, 731?
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, 980, 221, 731.
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}.