LCM of 761, 282, 306, 969, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 282, 306, 969, 323 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 761, 282, 306, 969, 323. So, keep reading to learn more.
Given numbers are 761,282,306,969,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,282,306,969,323 is 207949338.
Find LCM of 761,282,306,969,323 with Prime Factorization
| 2 | 761, 282, 306, 969, 323 |
| 3 | 761, 141, 153, 969, 323 |
| 17 | 761, 47, 51, 323, 323 |
| 19 | 761, 47, 3, 19, 19 |
| 761, 47, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 761 x 47 x 3 x 1 x 1 = 207949338
Therefore, the lowest common multiple of 761,282,306,969,323 is 207949338.
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.
761 x 282 x 306 x 969 x 323 = 20553296669244
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.
761 : 1, 761
282 : 1, 2, 3, 6, 47, 94, 141, 282
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
969 : 1, 3, 17, 19, 51, 57, 323, 969
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,282,306,969,323, is 1.
Now, the common factors can be found like this.
761:761
282:2x 3x 47
306:2x 3x 3x 17
969:3x 17x 19
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 17x 19 = 98838
Therefore, the value for common factors is 98838.
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 = 20553296669244/(1x98838)
LCM = 20553296669244/98838
LCM = 207949338
Thus, we can understand that the LCM of 761,282,306,969,323 is 207949338.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 761, 282, 306, 969, 323
1. What is the LCM of 761, 282, 306, 969, 323?
Answer: LCM of 761, 282, 306, 969, 323 is 207949338.
2. How to calculate the LCM of 761, 282, 306, 969, 323?
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 761, 282, 306, 969, 323.
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}.