LCM of 669, 705, 968, 528, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 705, 968, 528, 340 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 669, 705, 968, 528, 340. So, keep reading to learn more.
Given numbers are 669,705,968,528,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,705,968,528,340 is 5174260080.
Find LCM of 669,705,968,528,340 with Prime Factorization
| 2 | 669, 705, 968, 528, 340 |
| 2 | 669, 705, 484, 264, 170 |
| 2 | 669, 705, 242, 132, 85 |
| 3 | 669, 705, 121, 66, 85 |
| 5 | 223, 235, 121, 22, 85 |
| 11 | 223, 47, 121, 22, 17 |
| 223, 47, 11, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 223 x 47 x 11 x 2 x 17 = 5174260080
Therefore, the lowest common multiple of 669,705,968,528,340 is 5174260080.
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.
669 x 705 x 968 x 528 x 340 = 81960279667200
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.
669 : 1, 3, 223, 669
705 : 1, 3, 5, 15, 47, 141, 235, 705
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,705,968,528,340, is 1.
Now, the common factors can be found like this.
669:3x 223
705:3x 5x 47
968:2x 2x 2x 11x 11
528:2x 2x 2x 2x 3x 11
340:2x 2x 5x 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 2x 3x 3x 5x 11 = 15840
Therefore, the value for common factors is 15840.
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 = 81960279667200/(1x15840)
LCM = 81960279667200/15840
LCM = 5174260080
Thus, we can understand that the LCM of 669,705,968,528,340 is 5174260080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 669, 705, 968, 528, 340
1. What is the LCM of 669, 705, 968, 528, 340?
Answer: LCM of 669, 705, 968, 528, 340 is 5174260080.
2. How to calculate the LCM of 669, 705, 968, 528, 340?
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 669, 705, 968, 528, 340.
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}.