LCM of 567, 975, 221, 923, 740
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 975, 221, 923, 740 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 567, 975, 221, 923, 740. So, keep reading to learn more.
Given numbers are 567,975,221,923,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,975,221,923,740 is 32918148900.
Find LCM of 567,975,221,923,740 with Prime Factorization
| 3 | 567, 975, 221, 923, 740 |
| 5 | 189, 325, 221, 923, 740 |
| 13 | 189, 65, 221, 923, 148 |
| 189, 5, 17, 71, 148 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 189 x 5 x 17 x 71 x 148 = 32918148900
Therefore, the lowest common multiple of 567,975,221,923,740 is 32918148900.
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.
567 x 975 x 221 x 923 x 740 = 83447507461500
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
221 : 1, 13, 17, 221
923 : 1, 13, 71, 923
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,975,221,923,740, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
975:3x 5x 5x 13
221:13x 17
923:13x 71
740:2x 2x 5x 37
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 13x 13 = 2535
Therefore, the value for common factors is 2535.
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 = 83447507461500/(1x2535)
LCM = 83447507461500/2535
LCM = 32918148900
Thus, we can understand that the LCM of 567,975,221,923,740 is 32918148900.
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FAQs on LCM of 567, 975, 221, 923, 740
1. What is the LCM of 567, 975, 221, 923, 740?
Answer: LCM of 567, 975, 221, 923, 740 is 32918148900.
2. How to calculate the LCM of 567, 975, 221, 923, 740?
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 567, 975, 221, 923, 740.
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}.