LCM of 765, 840, 189, 565, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 840, 189, 565, 921 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 765, 840, 189, 565, 921. So, keep reading to learn more.
Given numbers are 765,840,189,565,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,840,189,565,921 is 4458487320.
Find LCM of 765,840,189,565,921 with Prime Factorization
| 3 | 765, 840, 189, 565, 921 |
| 3 | 255, 280, 63, 565, 307 |
| 5 | 85, 280, 21, 565, 307 |
| 7 | 17, 56, 21, 113, 307 |
| 17, 8, 3, 113, 307 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 17 x 8 x 3 x 113 x 307 = 4458487320
Therefore, the lowest common multiple of 765,840,189,565,921 is 4458487320.
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.
765 x 840 x 189 x 565 x 921 = 63199057761000
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
189 : 1, 3, 7, 9, 21, 27, 63, 189
565 : 1, 5, 113, 565
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,840,189,565,921, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
840:2x 2x 2x 3x 5x 7
189:3x 3x 3x 7
565:5x 113
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 5x 7 = 14175
Therefore, the value for common factors is 14175.
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 = 63199057761000/(1x14175)
LCM = 63199057761000/14175
LCM = 4458487320
Thus, we can understand that the LCM of 765,840,189,565,921 is 4458487320.
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FAQs on LCM of 765, 840, 189, 565, 921
1. What is the LCM of 765, 840, 189, 565, 921?
Answer: LCM of 765, 840, 189, 565, 921 is 4458487320.
2. How to calculate the LCM of 765, 840, 189, 565, 921?
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 765, 840, 189, 565, 921.
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}.