LCM of 669, 805, 345, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 805, 345, 532 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, 805, 345, 532. So, keep reading to learn more.
Given numbers are 669,805,345,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,805,345,532 is 40929420.
Find LCM of 669,805,345,532 with Prime Factorization
| 3 | 669, 805, 345, 532 |
| 5 | 223, 805, 115, 532 |
| 7 | 223, 161, 23, 532 |
| 23 | 223, 23, 23, 76 |
| 223, 1, 1, 76 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 23 x 223 x 1 x 1 x 76 = 40929420
Therefore, the lowest common multiple of 669,805,345,532 is 40929420.
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 805 x 345 x 532 = 98844549300
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
805 : 1, 5, 7, 23, 35, 115, 161, 805
345 : 1, 3, 5, 15, 23, 69, 115, 345
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,805,345,532, is 1.
Now, the common factors can be found like this.
669:3x 223
805:5x 7x 23
345:3x 5x 23
532:2x 2x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 23 = 2415
Therefore, the value for common factors is 2415.
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 = 98844549300/(1x2415)
LCM = 98844549300/2415
LCM = 40929420
Thus, we can understand that the LCM of 669,805,345,532 is 40929420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 669, 805, 345, 532
1. What is the LCM of 669, 805, 345, 532?
Answer: LCM of 669, 805, 345, 532 is 40929420.
2. How to calculate the LCM of 669, 805, 345, 532?
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, 805, 345, 532.
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}.